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3-Transposition Groups
Michael Aschbacher
出版Cambridge University Press, 1997
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Group Theory
ISBN05215719609780521571968
URLhttp://books.google.com.hk/books?id=cOpxUq07WdkC&hl=&source=gbs_api
EBookSAMPLE
註釋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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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.