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Book Cover
Book
Author Humphreys, J. F.

Title A course in group theory / John F. Humphreys
Published Oxford ; New York : Oxford University Press, 1996

Copies

Location Call no. Vol. Availability
 W'PONDS  512.2076 Hum/Cig  AVAILABLE
Description xii, 279 pages ; 24 cm
Series Oxford science publications
Oxford science publications.
Contents 1. Definitions and examples -- 2. Maps and relations on sets -- 3. Elementary consequences of the definitions -- 4. Subgroups -- 5. Cosets and Lagrange's Theorem -- 6. Error-correcting codes -- 7. Normal subgroups and quotient groups -- 8. The Homomorphism Theorem -- 9. Permutations -- 10. The Orbit-Stabiliser Theorem -- 11. The Sylow Theorems --12. Applications of Sylow theory -- 13. Direct products -- 14. The classification of finite abelian groups -- 15. The Jordan-Holder Theorem -- 16. Composition factors and chief factors -- 17. Soluble groups -- 18. Examples of soluble groups -- 19. Semidirect products and wreath products -- 20. Extensions -- 21. Central and cyclic extensions -- 22. Groups with at most 31 elements -- 23. The projective special linear groups -- 24. The Mathieu groups -- 25. The classification of finite simple groups -- A Prerequisites from number theory and linear algebra --B Groups of order < 32 -- C Solutions to exercises
Notes Includes index
Bibliography Includes bibliographical references (pages [275]-276) and index
Subject Finite groups.
Group theory.
LC no. 97108432
ISBN 0198534531 (hbk.)
0198534590 (paperback)