3-transposition groups
By: Michael Aschbacher.
Series: Cambridge tracts in mathematics ;; 124
Publisher: Cambridge University Press
Published: 1997
Place of publication: Cambridge; New York
Language: eng
Number of pages: 260
Subjects: Finite groups.
Other titles: Three-transposition groups
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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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. 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.
Notes: Includes bibliographical references (p. 253-254) and index.