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3-Transposition Groups

  • Couverture cartonnée
  • 272 Nombre de pages
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Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.The theory of 3-t... Lire la suite
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Description

Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.

Résumé
The theory of 3-transposition groups has become an important part of finite simple group theory. This book contains the first complete published proof of Fischer's Theorem on the classification of these groups. Part I is accessible to graduate students in finite groups while Parts II and III are aimed at specialists.

Contenu

Part I. Fischer's Theorem: 1. Preliminaries; 2. Commuting graphs of groups; 3. The structure of 3-transposition groups; 4. Classical groups generated by 3-transpositions; 5. Fischer's theorem; 6. The geometry of 3-transposition groups; Part II. Existence and Uniquenesss Of The Fischer Groups: 7. Some group extensions; 8. Almost 3-transposition groups; 9. Uniqueness systems and coverings of graphs; 10. U4 (3) as a subgroup of U6 (2); 11. The existence and uniqueness of the Fischer groups; Part III. The Local Structure Of The Fischer Groups: 12. The 2-local structure of the Fischer groups; 13. Elements of order 3 in orthogonal groups over GF(3); 14. Odd locals in Fischer groups; 15. Normalisers of subgroups of prime order in Fischer groups.

Informations sur le produit

Titre: 3-Transposition Groups
Auteur:
Code EAN: 9780521101028
ISBN: 978-0-521-10102-8
Format: Couverture cartonnée
Editeur: Cambridge Univ Pr
Genre: Mathématique
nombre de pages: 272
Poids: 429g
Taille: H229mm x B152mm x T20mm
Année: 2009

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