Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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.
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