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Galois Theory, Coverings, and Riemann Surfaces [[electronic resource] /] / by Askold Khovanskii
| Galois Theory, Coverings, and Riemann Surfaces [[electronic resource] /] / by Askold Khovanskii |
| Autore | Khovanskii Askold |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (86 p.) |
| Disciplina | 516.35 |
| Soggetto topico |
Algebra
Field theory (Physics) Group theory Topology Algebraic geometry Field Theory and Polynomials Group Theory and Generalizations Algebraic Geometry |
| ISBN | 3-642-38841-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1 Galois Theory: 1.1 Action of a Solvable Group and Representability by Radicals -- 1.2 Fixed Points under an Action of a Finite Group and Its Subgroups -- 1.3 Field Automorphisms and Relations between Elements in a Field -- 1.4 Action of a k-Solvable Group and Representability by k-Radicals -- 1.5 Galois Equations -- 1.6 Automorphisms Connected with a Galois Equation -- 1.7 The Fundamental Theorem of Galois Theory -- 1.8 A Criterion for Solvability of Equations by Radicals -- 1.9 A Criterion for Solvability of Equations by k-Radicals -- 1.10 Unsolvability of Complicated Equations by Solving Simpler Equations -- 1.11 Finite Fields -- Chapter 2 Coverings: 2.1 Coverings over Topological Spaces -- 2.2 Completion of Finite Coverings over Punctured Riemann Surfaces -- Chapter 3 Ramified Coverings and Galois Theory: 3.1 Finite Ramified Coverings and Algebraic Extensions of Fields of Meromorphic Functions -- 3.2 Geometry of Galois Theory for Extensions of a Field of Meromorphic Functions -- References -- Index. |
| Record Nr. | UNINA-9910438030103321 |
Khovanskii Askold
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Topological Galois Theory [[electronic resource] ] : Solvability and Unsolvability of Equations in Finite Terms / / by Askold Khovanskii
| Topological Galois Theory [[electronic resource] ] : Solvability and Unsolvability of Equations in Finite Terms / / by Askold Khovanskii |
| Autore | Khovanskii Askold |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (317 p.) |
| Disciplina | 511.5 |
| Collana | Springer Monographs in Mathematics |
| Soggetto topico |
Algebra
Field theory (Physics) Functions of complex variables Group theory Topological groups Lie groups Topology Field Theory and Polynomials Functions of a Complex Variable Group Theory and Generalizations Topological Groups, Lie Groups Several Complex Variables and Analytic Spaces |
| ISBN | 3-642-38871-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- 1 Construction of Liouvillian Classes of Functions and Liouville’s Theory -- 2 Solvability of Algebraic Equations by Radicals and Galois Theory -- 3 Solvability and Picard–Vessiot Theory -- 4 Coverings and Galois Theory -- 5 One-Dimensional Topological Galois Theory -- 6 Solvability of Fuchsian Equations -- 7 Multidimensional Topological Galois Theory -- Appendix A: Straightedge and Compass Constructions -- Appendix B: Chebyshev Polynomials and Their Inverses -- Appendix C: Signatures of Branched Coverings and Solvability in Quadratures -- Appendix D: On an Algebraic Version of Hilbert’s 13th Problem -- References. |
| Record Nr. | UNINA-9910299983503321 |
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Khovanskii Askold
|
||
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||