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portada 3-Transposition Groups (Cambridge Tracts in Mathematics)
Type
Physical Book
Publisher
Author
Year
2009
Language
English
Pages
272
Format
Paperback
Weight
1
ISBN
0521101026
ISBN13
9780521101028
Edition No.
1
Categories

3-Transposition Groups (Cambridge Tracts in Mathematics)

Michael Aschbacher (Author) · Cambridge University Press · Paperback

3-Transposition Groups (Cambridge Tracts in Mathematics) - Michael Aschbacher

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Synopsis "3-Transposition Groups (Cambridge Tracts in Mathematics) "

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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place. Fischer's result, while important and deep (covering a number of complex examples), can be understood by any student with some knowledge of elementary group theory and finite geometry. Thus Part I has minimal prerequisites and could be used as a text for an intermediate level graduate course. Parts II and III are aimed at specialists in finite groups and are a step in the author's program to supply a strong foundation for the theory of sporadic groups.

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