Finite group theory / Michael Aschbacher.

By: Aschbacher, Michael, 1944- [author]
Language: English Publisher: Cambridge: Cambridge University Press, c2012Description: 1 online resource (xi, 304 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9780521781459; 9781139175319Subject(s): Finite groupsGenre/Form: Electronic books.DDC classification: 512.2 Online resources: Full text available at Cambridge University Press Click here to view
Contents:
1. Preliminary results 2. Permutation representations 3. Representations of groups on groups 4. Linear representations 5. Permutation groups 6. Extensions of groups and modules 7. Spaces with forms 8. p-Groups 9. Change of field of a linear representation 10. Presentations of groups 11. The generalized Fitting subgroup 12. Linear representations of finite groups 13. Transfer and fusion 14. The geometry of groups of Lie type 15. Signalizer functors 16. Finite simple groups.
Summary: This work develops the foundations of the theory of finite groups. It can serve as a text for a course on finite groups for students already exposed to a first course in algebra.
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512.2 As23 2012 (Browse shelf) Available CL-46249
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Includes bibliographical references (p. [297]-298) and index.

1. Preliminary results
2. Permutation representations
3. Representations of groups on groups
4. Linear representations
5. Permutation groups
6. Extensions of groups and modules
7. Spaces with forms
8. p-Groups
9. Change of field of a linear representation
10. Presentations of groups
11. The generalized Fitting subgroup
12. Linear representations of finite groups
13. Transfer and fusion
14. The geometry of groups of Lie type
15. Signalizer functors
16. Finite simple groups.

This work develops the foundations of the theory of finite groups. It can serve as a text for a course on finite groups for students already exposed to a first course in algebra.

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