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3-Transposition Groups

3-Transposition Groups

Paperback

Series: Cambridge Tracts in Mathematics, Book 124

AlgebraGeneral Mathematics

ISBN10: 0521101026
ISBN13: 9780521101028
Publisher: Cambridge
Published: Feb 5 2009
Pages: 272
Weight: 0.89
Height: 0.61 Width: 6.00 Depth: 9.00
Language: English
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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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. Part I of this book 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.

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