3-Transposition Groups

di Michael Aschbacher (Autore)

Cambridge University Press, 2009

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of 3-transposition groups has become an important part of finite simple group theory, but Fischer's work has remained unpublished. 3-Transposition Groups contains the first published proof of Fischer's Theorem, written out completely in one place.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

• Autore: Michael Aschbacher
• Editore: Cambridge University Press
• Collana: Cambridge Tracts in Mathematics
• Anno: 2009
• Rilegatura: Paperback / softback
• Pagine: 272 p.
• Dimensioni: 229 x 152 mm
• Peso: 400 gr.
• EAN: 9780521101028

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