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Moufang loops and groups with triality are essentially the same thing / / J.I. Hall
| Moufang loops and groups with triality are essentially the same thing / / J.I. Hall |
| Autore | Hall J. I. |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (206 pages) : illustrations |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moufang loops |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-5321-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480922903321 |
Hall J. I.
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| Providence, RI : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang loops and groups with triality are essentially the same thing / / J.I. Hall
| Moufang loops and groups with triality are essentially the same thing / / J.I. Hall |
| Autore | Hall J. I. |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (206 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moufang loops |
| ISBN | 1-4704-5321-5 |
| Classificazione | 20-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Category theory -- Quasigroups and loops -- Latin square designs -- Groups with triality -- The functor B -- Monics, covers, and isogeny in TriGrp -- Universals and adjoints -- Moufang loops and groups with triality are essentially the same thing -- Moufang loops and groups with triality are not exactly the same thing -- The functors S and M -- The functor G -- Multiplication groups and autotopisms -- Doro's approach -- Normal structure -- Some related categories and objects -- An introduction to concrete triality -- Orthogonal spaces and groups -- Study's and Cartan's triality -- Composition algebras -- Freudenthal's triality -- The loop of units in an octonion algebra. |
| Record Nr. | UNINA-9910793889703321 |
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Hall J. I.
|
||
| Providence, RI : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang loops and groups with triality are essentially the same thing / / J.I. Hall
| Moufang loops and groups with triality are essentially the same thing / / J.I. Hall |
| Autore | Hall J. I. |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (206 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moufang loops |
| ISBN | 1-4704-5321-5 |
| Classificazione | 20-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Category theory -- Quasigroups and loops -- Latin square designs -- Groups with triality -- The functor B -- Monics, covers, and isogeny in TriGrp -- Universals and adjoints -- Moufang loops and groups with triality are essentially the same thing -- Moufang loops and groups with triality are not exactly the same thing -- The functors S and M -- The functor G -- Multiplication groups and autotopisms -- Doro's approach -- Normal structure -- Some related categories and objects -- An introduction to concrete triality -- Orthogonal spaces and groups -- Study's and Cartan's triality -- Composition algebras -- Freudenthal's triality -- The loop of units in an octonion algebra. |
| Record Nr. | UNINA-9910828986903321 |
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Hall J. I.
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||
| Providence, RI : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang loops of small order / / Orin Chein
| Moufang loops of small order / / Orin Chein |
| Autore | Chein Orin <1943-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (139 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moufang loops |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0202-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Background and Notation""; ""Chapter II: Groups and loops of order â?? 31""; ""Chapter III: Some helpful construction theorems""; ""Chapter IV: Properties of loops satisfying the hypotheses of Theorem 1""; ""Chapter V: Some results on isomorphism""; ""Chapter VI: The Construction process""; ""Chapter VII: Loops requiring four or more generators""; ""Chapter VIII: Threeâ€?generator loops of the form M[sub(2n)](G,2)""; ""Chapter IX: Threeâ€?generator loops, not of the form M[sub(2n)](G,2), which contain an element of order greater than 6""
""Chapter X: Three�generator loops which contain an element of order 6 but no element of order greater than 6""""Chapter XI: Three�generator loops which contain an element of order five but no element of larger order""; ""Chapter XII: Three�generator loops which contain an element of order four but no element of larger order""; ""Chapter XIII: Three�generator loops containing no element of order greater than three""; ""Chapter XIV: Summary""; ""References"" |
| Record Nr. | UNINA-9910480776703321 |
|
Chein Orin <1943->
|
||
| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang loops of small order / / Orin Chein
| Moufang loops of small order / / Orin Chein |
| Autore | Chein Orin <1943-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (139 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moufang loops |
| ISBN | 1-4704-0202-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Background and Notation""; ""Chapter II: Groups and loops of order â?? 31""; ""Chapter III: Some helpful construction theorems""; ""Chapter IV: Properties of loops satisfying the hypotheses of Theorem 1""; ""Chapter V: Some results on isomorphism""; ""Chapter VI: The Construction process""; ""Chapter VII: Loops requiring four or more generators""; ""Chapter VIII: Threeâ€?generator loops of the form M[sub(2n)](G,2)""; ""Chapter IX: Threeâ€?generator loops, not of the form M[sub(2n)](G,2), which contain an element of order greater than 6""
""Chapter X: Three�generator loops which contain an element of order 6 but no element of order greater than 6""""Chapter XI: Three�generator loops which contain an element of order five but no element of larger order""; ""Chapter XII: Three�generator loops which contain an element of order four but no element of larger order""; ""Chapter XIII: Three�generator loops containing no element of order greater than three""; ""Chapter XIV: Summary""; ""References"" |
| Record Nr. | UNINA-9910788890003321 |
|
Chein Orin <1943->
|
||
| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang loops of small order / / Orin Chein
| Moufang loops of small order / / Orin Chein |
| Autore | Chein Orin <1943-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , [1978] |
| Descrizione fisica | 1 online resource (139 p.) |
| Disciplina | 512/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico | Moufang loops |
| ISBN | 1-4704-0202-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Table of Contents""; ""Introduction""; ""Chapter I: Background and Notation""; ""Chapter II: Groups and loops of order â?? 31""; ""Chapter III: Some helpful construction theorems""; ""Chapter IV: Properties of loops satisfying the hypotheses of Theorem 1""; ""Chapter V: Some results on isomorphism""; ""Chapter VI: The Construction process""; ""Chapter VII: Loops requiring four or more generators""; ""Chapter VIII: Threeâ€?generator loops of the form M[sub(2n)](G,2)""; ""Chapter IX: Threeâ€?generator loops, not of the form M[sub(2n)](G,2), which contain an element of order greater than 6""
""Chapter X: Three�generator loops which contain an element of order 6 but no element of order greater than 6""""Chapter XI: Three�generator loops which contain an element of order five but no element of larger order""; ""Chapter XII: Three�generator loops which contain an element of order four but no element of larger order""; ""Chapter XIII: Three�generator loops containing no element of order greater than three""; ""Chapter XIV: Summary""; ""References"" |
| Record Nr. | UNINA-9910828122003321 |
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Chein Orin <1943->
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| Providence : , : American Mathematical Society, , [1978] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang sets and structurable division algebras / / Lien Boelaert, Tom De Medts, Anastasia Stavrova
| Moufang sets and structurable division algebras / / Lien Boelaert, Tom De Medts, Anastasia Stavrova |
| Autore | Boelaert Lien |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (v, 90 pages) : illustrations |
| Disciplina | 512.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Division algebras
Moufang loops Jordan algebras Combinatorial group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-5245-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480753703321 |
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Boelaert Lien
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| Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang sets and structurable division algebras / / Lien Boelaert, Tom De Medts, Anastasia Stavrova
| Moufang sets and structurable division algebras / / Lien Boelaert, Tom De Medts, Anastasia Stavrova |
| Autore | Boelaert Lien |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (v, 90 pages) : illustrations |
| Disciplina | 512.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Division algebras
Moufang loops Jordan algebras Combinatorial group theory |
| ISBN | 1-4704-5245-6 |
| Classificazione | 16W1020E4217A3517B6017B4517Cxx20G1520G41 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910793619203321 |
|
Boelaert Lien
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||
| Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Moufang sets and structurable division algebras / / Lien Boelaert, Tom De Medts, Anastasia Stavrova
| Moufang sets and structurable division algebras / / Lien Boelaert, Tom De Medts, Anastasia Stavrova |
| Autore | Boelaert Lien |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2019] |
| Descrizione fisica | 1 online resource (v, 90 pages) : illustrations |
| Disciplina | 512.56 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Division algebras
Moufang loops Jordan algebras Combinatorial group theory |
| ISBN | 1-4704-5245-6 |
| Classificazione | 16W1020E4217A3517B6017B4517Cxx20G1520G41 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910817304803321 |
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Boelaert Lien
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| Providence, Rhode Island : , : American Mathematical Society, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The structure of affine buildings [[electronic resource] /] / Richard M. Weiss
| The structure of affine buildings [[electronic resource] /] / Richard M. Weiss |
| Autore | Weiss Richard M (Richard Mark), <1946-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2009 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 512/.2 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Buildings (Group theory)
Moufang loops Automorphisms Affine algebraic groups |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-45836-1
9786612458361 1-4008-2905-4 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Affine Coxeter Diagrams -- Chapter 2. Root Systems -- Chapter 3. Root Data with Valuation -- Chapter 4. Sectors -- Chapter 5. Faces -- Chapter 6. Gems -- Chapter 7. Affine Buildings -- Chapter 8. The Building at Infinity -- Chapter 9. Trees with Valuation -- Chapter 10. Wall Trees -- Chapter 11. Panel Trees -- Chapter 12. Tree-Preserving Isomorphisms -- Chapter 13. The Moufang Property at Infinity -- Chapter 14. Existence -- Chapter 15. Partial Valuations -- Chapter 16. Bruhat-Tits Theory -- Chapter 17. Completions -- Chapter 18. Automorphisms and Residues -- Chapter 19. Quadrangles of Quadratic Form Type -- Chapter 20. Quadrangles of Indifferent Type -- Chapter 21. Quadrangles of Type E6, E7 and E8 -- Chapter 22. Quadrangles of Type F4 -- Chapter 23. Quadrangles of Involutory Type -- Chapter 24. Pseudo-Quadratic Quadrangles -- Chapter 25. Hexagons -- Chapter 26. Assorted Conclusions -- Chapter 27. Summary of the Classification -- Chapter 28. Locally Finite Bruhat-Tits Buildings -- Chapter 29. Appendix A -- Chapter 30. Appendix B -- Bibliography -- Index |
| Record Nr. | UNINA-9910456878803321 |
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Weiss Richard M (Richard Mark), <1946->
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| Princeton, N.J., : Princeton University Press, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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