A course on finite groups
Author(s)
Bibliographic Information
A course on finite groups
(Universitext)
Springer, c2009
- : pbk
Available at 26 libraries
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-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkROS||43||2200021319674
Note
Includes bibliographical references (p. 297-300) and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"