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Study 3-Transposition Groups (Cambridge Tracts in Mathematics)

Posted on 2010-03-16




Name:Study 3-Transposition Groups (Cambridge Tracts in Mathematics)
ASIN/ISBN:0521571960
Language:English
File size:2.6 Mb
Language: English
Publish Date: 1996-11-28
ISBN: 0521571960
Pages: 272 pages
File Type: PDF
File Size: 2,6 MB
Other Info: Cambridge University Press
   Study 3-Transposition Groups (Cambridge Tracts in Mathematics)

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Michael Aschbacher "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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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. 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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