Verwandte Artikel zu LMS: 188 Local Analysis Order Thm (London Mathematical...

LMS: 188 Local Analysis Order Thm (London Mathematical Society Lecture Note Series) - Softcover

Buch 181 von 387: London Mathematical Society Lecture Notes

Bender, Helmut

 
9780521457163: LMS: 188 Local Analysis Order Thm (London Mathematical Society Lecture Note Series)
Softcover
ISBN 10: 0521457165 ISBN 13: 9780521457163
Verlag: Cambridge University Press, 2008

Inhaltsangabe

The book presents a new version of the local analysis section of the Feit–Thompson theorem.

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In 1963 Walter Feit and John G. Thompson proved the Odd Order Theorem, which states that every finite group of odd order is solvable. The influence of both the theorem and its proof on the further development of finite group theory can hardly be overestimated. The proof consists of a set of preliminary results followed by three parts: local analysis, characters, and generators and relations (Chapters IV, V, and VI of the paper). Local analysis is the study of the centralizers and normalizers of non-identity p-subgroups, with Sylow's Theorem as the first main tool. The main purpose of the book is to present a new version of the local analysis of the Feit-Thompson Theorem (Chapter IV of the original paper and its preliminaries). It includes a recent (1991) significant improvement by Feit and Thompson and a short revision by T. Peterfalvi of the separate final section of the second half of the proof. The book should interest finite group theorists as well as other mathematicians who wish to get a glimpse of one of the most famous and most forbidding theorems in mathematics. Current research may eventually lead to a revised proof of the entire theorem, but this goal is several years away. For the present, the authors are publishing this work as a set of lecture notes to contribute to the general understanding of the theorem and to further improvements.

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Verlag
Cambridge University Press
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0521457165
ISBN 13 
9780521457163
Einband
Taschenbuch
Anzahl der Seiten
188
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

Lengericher Landstr. 19
Osnabrück
Niedersachsen
49078
Deutschland

Weitere beliebte Ausgaben desselben Titels

9780521451123: Local Analysis for the Odd Order Theorem (London Mathematical Society Lecture Note Series, Series Number 188)

Vorgestellte Ausgabe

ISBN 10:  0521451124 ISBN 13:  9780521451123
Verlag: Cambridge University Press, 1994
Softcover