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- catalog abstract "The aim of this book 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 will 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.".
- catalog contributor b8692628.
- catalog contributor b8692629.
- catalog created "c1995.".
- catalog date "1995".
- catalog date "c1995.".
- catalog dateCopyrighted "c1995.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. [185]-186) and index.".
- catalog description "The aim of this book 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 will 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.".
- catalog extent "x, 194 p. ;".
- catalog hasFormat "Groups and representations.".
- catalog identifier "0387945253 (alk. paper)".
- catalog identifier "0387945261 (pbk. : alk. paper)".
- catalog isFormatOf "Groups and representations.".
- catalog isPartOf "Graduate texts in mathematics ; 162".
- catalog issued "1995".
- catalog issued "c1995.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog relation "Groups and representations.".
- catalog subject "512/.2 20".
- catalog subject "Group theory.".
- catalog subject "Mathematics.".
- catalog subject "QA176 .A46 1995".
- catalog subject "Representations of groups.".
- catalog tableOfContents "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.".
- catalog title "Groups and representations / J.L. Alperin with Rowen B. Bell.".
- catalog type "text".