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3-Transposition Groups Book

3-Transposition Groups
3-Transposition Groups, In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and, in the process discovered three new sporadic groups, now known as the Fischer groups. Since then the theory of 3-transposition grou, 3-Transposition Groups has a rating of 3.5 stars
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3-Transposition Groups, In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and, in the process discovered three new sporadic groups, now known as the Fischer groups. Since then the theory of 3-transposition grou, 3-Transposition Groups
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  • 3-Transposition Groups
  • Written by author Michael Aschbacher
  • Published by Cambridge University Press, February 2009
  • In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and, in the process discovered three new sporadic groups, now known as the Fischer groups. Since then the theory of 3-transposition grou
  • Contains the first complete published proof of Fischer's Theorem on the classification of 3-transposition groups.
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Pt. IFischer's Theory1
1Preliminaries6
2Commuting graphs of groups21
3The structure of 3-transposition groups30
4Classical groups generated by 3-transpositions39
5Fischer's Theorem58
6The geometry of 3-transposition groups91
Pt. IIThe existence and uniqueness of the Fischer groups109
7Some group extensions113
8Almost 3-transposition groups137
9Uniqueness systems and coverings of graphs147
10U[subscript 4](3) as a subgroup of U[subscript 6](2)157
11The existence and uniqueness of the Fischer groups173
Pt. IIIThe local structure of the Fischer groups199
12The 2-local structure of the Fischer groups201
13Elements of order 3 in orthogonal groups over GF(3)211
14Odd locals in Fischer groups226
15Normalizers of subgroups of prime order in Fischer groups250
References253
List of symbols255
Index257


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3-Transposition Groups, In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and, in the process discovered three new sporadic groups, now known as the Fischer groups. Since then the theory of 3-transposition grou, 3-Transposition Groups

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3-Transposition Groups, In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and, in the process discovered three new sporadic groups, now known as the Fischer groups. Since then the theory of 3-transposition grou, 3-Transposition Groups

3-Transposition Groups

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3-Transposition Groups, In 1970 Bernd Fischer proved his beautiful theorem classifying the almost simple groups generated by 3-transpositions, and, in the process discovered three new sporadic groups, now known as the Fischer groups. Since then the theory of 3-transposition grou, 3-Transposition Groups

3-Transposition Groups

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