Groups and representations /

This book provides a concise treatment of some topics from group theory and representation theory, suitable 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 will enable graduate students...

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Bibliographic Details
Main Author:	Alperin, J. L.
Corporate Author:	SpringerLink (Online service)
Other Authors:	Bell, Rowen B.
Format:	eBook
Language:	English
Published:	New York : Springer, [1995]
Series:	Graduate texts in mathematics ; 162.
Subjects:	Representations of groups. Représentations de groupes. Groepentheorie. Representatie (wiskunde) Groups (Mathematics) Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

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.