Groups and Representations: Vol 162 (Graduate Texts in Mathematics) - Hardcover

Alperin, J.L.; Bell, Rowen B.

 
9780387945255: Groups and Representations: Vol 162 (Graduate Texts in Mathematics)
Hardcover
ISBN 10: 0387945253 ISBN 13: 9780387945255
Verlag: Springer, 1995

Inhaltsangabe

1. Rudiments of Group Theory.- 1. Review.- 2. Automorphisms.- 3. Group Actions.- 2. The General Linear Group.- 4. Basic Structure.- 5. Parabolic Subgroups.- 6. The Special Linear Group.- 3. Local Structure.- 7. Sylow’s Theorem.- 8. Finite p-groups.- 9. The Schur-Zassenhaus Theorem.- 4. Normal Structure.- 10. Composition Series.- 11. Solvable Groups.- 5. Semisimple Algebras.- 12. Modules and Representations.- 13. Wedderburn Theory.- 6. Group Representations.- 14. Characters.- 15. The Character Table.- 16. Induction.- Appendix: Algebraic Integers and Characters.- List of Notation.

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Reseña del editor

The aim of this text is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on the non-commutative side of the field emphasizing the general linear group as the most important group and example. The book should enable graduate students from every mathematical field, as well as strong undergraduates with an interest in algebra, to solidify their knowledge of group theory. The reader should have a familiarity with groups, rings and fields, along with a solid knowledge of linear algebra. Close to 200 exercises of varying difficulty serve both to reinforce the main concept of the text and to expose the reader to additional topics.

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Verlag
Springer
Erscheinungsdatum
1995
Sprache
Englisch
ISBN 10 
0387945253
ISBN 13 
9780387945255
Einband
Tapa dura
Anzahl der Seiten
212
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Deutschland

Weitere beliebte Ausgaben desselben Titels

9780387945262: Groups and Representations (Graduate Texts in Mathematics, 162, Band 162)

Vorgestellte Ausgabe

ISBN 10:  0387945261 ISBN 13:  9780387945262
Verlag: Springer, 2013
Softcover