A course on finite groups
著者
書誌事項
A course on finite groups
（Universitext）
Springer, c2009
- : pbk
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注記
Includes bibliographical references (p. 297-300) and index
内容説明・目次
内容説明
Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects.
Provides a wealth of exercises and problems to support self-study.
Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.
目次
Introduction-The Group Concept.- Elementary Group Properties.- Group Construction and Representation.- Homomorphisms.- Action and the Orbit-Stabiliser Theorem.- -Groups and Sylow Theory.- Products and Abelian Groups.- Groups of Order 24 Three Examples.- Series, Jordan-Hoelder Theorem and the Extension Problem.- Nilpotency.- Solubility.- Simple Groups of Order Less than 10000.- Appendices A to E.
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