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Cover: 9781447125273 | The Finite Simple Groups | Robert Wilson | Taschenbuch | Paperback
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The Finite Simple Groups
Taschenbuch von Robert Wilson
Sprache: Englisch

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Beschreibung
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].
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].
Zusammenfassung

Written by a world-renowned expert, this textbook is the first to offer a comprehensive introduction to all the finite simple groups at a level accessible to students.

Gives the facts about the finite simple groups and also useful insights into how to work with them, either by hand or on a computer.

Inhaltsverzeichnis
The alternating groups.- The classical groups.- The exceptional groups.- The sporadic groups.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xv
298 S.
ISBN-13: 9781447125273
ISBN-10: 1447125274
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Wilson, Robert
Hersteller: Springer London
Springer-Verlag London Ltd.
Graduate Texts in Mathematics
Maße: 235 x 155 x 18 mm
Von/Mit: Robert Wilson
Erscheinungsdatum: 14.03.2012
Gewicht: 0,482 kg
Artikel-ID: 106586489
Zusammenfassung

Written by a world-renowned expert, this textbook is the first to offer a comprehensive introduction to all the finite simple groups at a level accessible to students.

Gives the facts about the finite simple groups and also useful insights into how to work with them, either by hand or on a computer.

Inhaltsverzeichnis
The alternating groups.- The classical groups.- The exceptional groups.- The sporadic groups.
Details
Erscheinungsjahr: 2012
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xv
298 S.
ISBN-13: 9781447125273
ISBN-10: 1447125274
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Wilson, Robert
Hersteller: Springer London
Springer-Verlag London Ltd.
Graduate Texts in Mathematics
Maße: 235 x 155 x 18 mm
Von/Mit: Robert Wilson
Erscheinungsdatum: 14.03.2012
Gewicht: 0,482 kg
Artikel-ID: 106586489
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