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Viser: The Finite Simple Groups
The Finite Simple Groups
Robert Wilson, Christopher W. Parker, Sheldon Axler og Kenneth Ribet
(2009)
Sprog: Engelsk
Springer London, Limited
387,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- 1. Udgave
- Hardback: 222 sider
- Udgiver: Springer London, Limited (December 2009)
- Forfattere: Robert Wilson, Christopher W. Parker, Sheldon Axler og Kenneth Ribet
- ISBN: 9781848009875
Thisbookisintendedasanintroductiontoallthe'nitesimplegroups.During themonumentalstruggletoclassifythe'nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi'cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].
The alternating groups.- The classical groups.- The exceptional groups.- The sporadic groups.
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