Discontinuous groups of isometries in the hyperbolic plane [[electronic resource] /] / Werner Fenchel, Jakob Nielsen ; edited by Asmus L. Schmidt |
Autore | Fenchel W (Werner), <1905-> |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2003 |
Descrizione fisica | 1 online resource (388 p.) |
Disciplina | 514/.2 |
Altri autori (Persone) |
NielsenJakob <1890-1959.>
SchmidtAsmus L |
Collana | De Gruyter studies in mathematics |
Soggetto topico |
Discontinuous groups
Isometrics (Mathematics) |
ISBN | 3-11-089135-2 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Chapter I. Möbius transformations and non-euclidean geometry. -- §1 Pencils of circles - inversive geometry -- §2 Cross-ratio -- §3 Möbius transformations, direct and reversed -- §4 Invariant points and classification of Möbius transformations -- §5 Complex distance of two pairs of points -- §6 Non-euclidean metric -- §7 Isometric transformations -- §8 Non-euclidean trigonometry -- §9 Products and commutators of motions -- Chapter II. Discontinuous groups of motions and reversions. -- §10 The concept of discontinuity -- §11 Groups with invariant points or lines -- §12 A discontinuity theorem -- §13 ℱ-groups. Fundamental set and limit set -- §14 The convex domain of an ℱ-group. Characteristic and isometric neighbourhood -- §15 Quasi-compactness modulo ℱ and finite generation of ℱ -- Chapter III. Surfaces associated with discontinuous groups. -- §16 The surfaces D modulo ℭ and K(ℱ) modulo ℱ -- §17 Area and type numbers -- Chapter IV. Decompositions of groups. -- §18 Composition of groups -- §19 Decomposition of groups -- §20 Decompositions of ℱ-groups containing reflections -- §21 Elementary groups and elementary surfaces -- §22 Complete decomposition and normal form in the case of quasi-compactness -- §23 Exhaustion in the case of non-quasi-compactness -- Chapter V. Isomorphism and homeomorphism. -- §24 Topological and geometrical isomorphism -- §25 Topological and geometrical homeomorphism -- §26 Construction of g-mappings. Metric parameters. Congruent groups -- Symbols and definitions -- Alphabets -- Bibliography -- Index |
Record Nr. | UNINA-9910785820103321 |
Fenchel W (Werner), <1905-> | ||
Berlin ; ; New York, : Walter de Gruyter, 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Discontinuous groups of isometries in the hyperbolic plane / / Werner Fenchel, Jakob Nielsen ; edited by Asmus L. Schmidt |
Autore | Fenchel W (Werner), <1905-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2003 |
Descrizione fisica | 1 online resource (388 p.) |
Disciplina | 514/.2 |
Altri autori (Persone) |
NielsenJakob <1890-1959.>
SchmidtAsmus L |
Collana | De Gruyter studies in mathematics |
Soggetto topico |
Discontinuous groups
Isometrics (Mathematics) |
ISBN | 3-11-089135-2 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Chapter I. Möbius transformations and non-euclidean geometry. -- §1 Pencils of circles - inversive geometry -- §2 Cross-ratio -- §3 Möbius transformations, direct and reversed -- §4 Invariant points and classification of Möbius transformations -- §5 Complex distance of two pairs of points -- §6 Non-euclidean metric -- §7 Isometric transformations -- §8 Non-euclidean trigonometry -- §9 Products and commutators of motions -- Chapter II. Discontinuous groups of motions and reversions. -- §10 The concept of discontinuity -- §11 Groups with invariant points or lines -- §12 A discontinuity theorem -- §13 ℱ-groups. Fundamental set and limit set -- §14 The convex domain of an ℱ-group. Characteristic and isometric neighbourhood -- §15 Quasi-compactness modulo ℱ and finite generation of ℱ -- Chapter III. Surfaces associated with discontinuous groups. -- §16 The surfaces D modulo ℭ and K(ℱ) modulo ℱ -- §17 Area and type numbers -- Chapter IV. Decompositions of groups. -- §18 Composition of groups -- §19 Decomposition of groups -- §20 Decompositions of ℱ-groups containing reflections -- §21 Elementary groups and elementary surfaces -- §22 Complete decomposition and normal form in the case of quasi-compactness -- §23 Exhaustion in the case of non-quasi-compactness -- Chapter V. Isomorphism and homeomorphism. -- §24 Topological and geometrical isomorphism -- §25 Topological and geometrical homeomorphism -- §26 Construction of g-mappings. Metric parameters. Congruent groups -- Symbols and definitions -- Alphabets -- Bibliography -- Index |
Record Nr. | UNINA-9910809760103321 |
Fenchel W (Werner), <1905-> | ||
Berlin ; ; New York, : Walter de Gruyter, 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Elementary geometry in hyperbolic space [[electronic resource] /] / Werner Fenchel |
Autore | Fenchel W (Werner), <1905-> |
Edizione | [Reprint 2011] |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1989 |
Descrizione fisica | 1 online resource (240 p.) |
Disciplina | 516.9 |
Collana | De Gruyter Studies in Mathematics |
Soggetto topico | Geometry, Hyperbolic |
ISBN | 3-11-084945-3 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- I. Preliminaries -- II. The Möbius Group -- III. The Basic Notions of Hyperbolic Geometry -- IV. The Isometry Group of Hyperbolic Space -- V. Lines -- VI. Right-Angled Hexagons -- VII. Points and Planes -- VIII. Spherical Surfaces -- IX. Area and Volume -- References -- Index -- Backmatter |
Record Nr. | UNINA-9910785846503321 |
Fenchel W (Werner), <1905-> | ||
Berlin ; ; New York, : Walter de Gruyter, 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Elementary geometry in hyperbolic space / / Werner Fenchel |
Autore | Fenchel W (Werner), <1905-> |
Edizione | [Reprint 2011] |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1989 |
Descrizione fisica | 1 online resource (240 p.) |
Disciplina | 516.9 |
Collana | De Gruyter Studies in Mathematics |
Soggetto topico | Geometry, Hyperbolic |
ISBN | 3-11-084945-3 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- I. Preliminaries -- II. The Möbius Group -- III. The Basic Notions of Hyperbolic Geometry -- IV. The Isometry Group of Hyperbolic Space -- V. Lines -- VI. Right-Angled Hexagons -- VII. Points and Planes -- VIII. Spherical Surfaces -- IX. Area and Volume -- References -- Index -- Backmatter |
Record Nr. | UNINA-9910824478303321 |
Fenchel W (Werner), <1905-> | ||
Berlin ; ; New York, : Walter de Gruyter, 1989 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Finite geometries, groups, and computation [[electronic resource] ] : proceedings of the conference "Finite geometries, groups, and computation," September 4-9, 2004, Pingree Park, Colorado / / edited by Alexander Hulpke ... [et al.] |
Pubbl/distr/stampa | New York, : Walter de Gruyter, 2006 |
Descrizione fisica | 1 online resource (288 p.) |
Disciplina | 516/.13 |
Altri autori (Persone) | HulpkeAlexander |
Collana | De Gruyter Proceedings in Mathematics |
Soggetto topico |
Finite geometries
Finite groups Algorithms |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-19484-4
9786612194849 3-11-019974-2 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- A reduction algorithm for matrix groups with an extra special normal subgroup -- A group theoretic approach to (0, 2)-geometries -- Efficient presentations for the Mathieu simple group M22 and its cover -- On the uniqueness of the unipotent subgroups of some Moufang sets -- Symmetric rank 3 designs with regular, elementary abelian, normal subgroups -- On minimal subdegrees of finite primitive permutation groups -- Computing with elation groups -- Finite semifields -- Constructions of quasiprimitive two-arc transitive graphs of product action type -- Symplectic translation planes of even order -- Structural properties of Hadamard designs -- On projective planes of order less than 32 -- Towards effective algorithms for linear groups -- Finite groups that admit Kantor families -- Applications of computer algebra to finite geometry -- Finite translation generalized quadrangles: old results, new results, open problems -- On affine designs and GMW difference sets -- Dimensional dual arcs - a survey -- Back matter |
Record Nr. | UNINA-9910451254103321 |
New York, : Walter de Gruyter, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Finite geometries, groups, and computation [[electronic resource] ] : proceedings of the conference "Finite geometries, groups, and computation," September 4-9, 2004, Pingree Park, Colorado / / edited by Alexander Hulpke ... [et al.] |
Pubbl/distr/stampa | New York, : Walter de Gruyter, 2006 |
Descrizione fisica | 1 online resource (288 p.) |
Disciplina | 516/.13 |
Altri autori (Persone) | HulpkeAlexander |
Collana | De Gruyter Proceedings in Mathematics |
Soggetto topico |
Finite geometries
Finite groups Algorithms |
Soggetto non controllato | Finite geometries, finite groups |
ISBN |
1-282-19484-4
9786612194849 3-11-019974-2 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- A reduction algorithm for matrix groups with an extra special normal subgroup -- A group theoretic approach to (0, 2)-geometries -- Efficient presentations for the Mathieu simple group M22 and its cover -- On the uniqueness of the unipotent subgroups of some Moufang sets -- Symmetric rank 3 designs with regular, elementary abelian, normal subgroups -- On minimal subdegrees of finite primitive permutation groups -- Computing with elation groups -- Finite semifields -- Constructions of quasiprimitive two-arc transitive graphs of product action type -- Symplectic translation planes of even order -- Structural properties of Hadamard designs -- On projective planes of order less than 32 -- Towards effective algorithms for linear groups -- Finite groups that admit Kantor families -- Applications of computer algebra to finite geometry -- Finite translation generalized quadrangles: old results, new results, open problems -- On affine designs and GMW difference sets -- Dimensional dual arcs - a survey -- Back matter |
Record Nr. | UNINA-9910784287603321 |
New York, : Walter de Gruyter, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Finite geometries, groups, and computation : proceedings of the conference "Finite geometries, groups, and computation," September 4-9, 2004, Pingree Park, Colorado / / edited by Alexander Hulpke ... [et al.] |
Edizione | [1st ed.] |
Pubbl/distr/stampa | New York, : Walter de Gruyter, 2006 |
Descrizione fisica | 1 online resource (288 p.) |
Disciplina | 516/.13 |
Altri autori (Persone) | HulpkeAlexander |
Collana | De Gruyter Proceedings in Mathematics |
Soggetto topico |
Finite geometries
Finite groups Algorithms |
ISBN |
1-282-19484-4
9786612194849 3-11-019974-2 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- A reduction algorithm for matrix groups with an extra special normal subgroup -- A group theoretic approach to (0, 2)-geometries -- Efficient presentations for the Mathieu simple group M22 and its cover -- On the uniqueness of the unipotent subgroups of some Moufang sets -- Symmetric rank 3 designs with regular, elementary abelian, normal subgroups -- On minimal subdegrees of finite primitive permutation groups -- Computing with elation groups -- Finite semifields -- Constructions of quasiprimitive two-arc transitive graphs of product action type -- Symplectic translation planes of even order -- Structural properties of Hadamard designs -- On projective planes of order less than 32 -- Towards effective algorithms for linear groups -- Finite groups that admit Kantor families -- Applications of computer algebra to finite geometry -- Finite translation generalized quadrangles: old results, new results, open problems -- On affine designs and GMW difference sets -- Dimensional dual arcs - a survey -- Back matter |
Record Nr. | UNINA-9910817474403321 |
New York, : Walter de Gruyter, 2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Getting acquainted with fractals [[electronic resource] /] / by Gilbert Helmberg |
Autore | Helmberg Gilbert |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2007 |
Descrizione fisica | 1 online resource (188 p.) |
Disciplina | 514/.742 |
Soggetto topico |
Fractals
Geometry |
Soggetto genere / forma | Electronic books. |
Soggetto non controllato |
Fractals
measure theory |
ISBN |
1-282-19665-0
9786612196652 3-11-020661-7 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Fractals and dimension -- Iterative function systems -- Iteration of complex polynomials -- Bibliography -- List of symbols -- Index -- Contents (detailed) |
Record Nr. | UNINA-9910454645903321 |
Helmberg Gilbert | ||
Berlin ; ; New York, : Walter de Gruyter, 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Getting acquainted with fractals [[electronic resource] /] / by Gilbert Helmberg |
Autore | Helmberg Gilbert |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2007 |
Descrizione fisica | 1 online resource (188 p.) |
Disciplina | 514/.742 |
Soggetto topico |
Fractals
Geometry |
Soggetto non controllato |
Fractals
measure theory |
ISBN |
1-282-19665-0
9786612196652 3-11-020661-7 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Fractals and dimension -- Iterative function systems -- Iteration of complex polynomials -- Bibliography -- List of symbols -- Index -- Contents (detailed) |
Record Nr. | UNINA-9910782768703321 |
Helmberg Gilbert | ||
Berlin ; ; New York, : Walter de Gruyter, 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Getting acquainted with fractals / / by Gilbert Helmberg |
Autore | Helmberg Gilbert |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2007 |
Descrizione fisica | 1 online resource (188 p.) |
Disciplina | 514/.742 |
Soggetto topico |
Fractals
Geometry |
ISBN |
1-282-19665-0
9786612196652 3-11-020661-7 |
Classificazione | SK 380 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Fractals and dimension -- Iterative function systems -- Iteration of complex polynomials -- Bibliography -- List of symbols -- Index -- Contents (detailed) |
Record Nr. | UNINA-9910822865803321 |
Helmberg Gilbert | ||
Berlin ; ; New York, : Walter de Gruyter, 2007 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|