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3-Transposition Groups

Michael Aschbacher - Personal Name;

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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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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Publisher
: Cambridge University Press., 2010
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Language
English
ISBN/ISSN
9780511759413
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NONE
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Subject(s)
Mathematics (general), Mathematics, Algebra
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Statement of Responsibility
Michael Aschbacher
Other Information
Cataloger
Kholif Basri
Source
https://www.cambridge.org/core/books/3transposition-groups/4718F16418EB5A2431BB421D83ED7579
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