| 3-Transposition Groups Contributor(s): Aschbacher, Michael (Author) |
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ISBN: 051175941X ISBN-13: 9780511759413 Publisher: Cambridge University Press OUR PRICE: $140.25 Product Type: Open Ebook - Other Formats Published: August 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Group Theory |
| Dewey: 512.2 |
| Series: Cambridge Tracts in Mathematics |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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. |