Description

Book Synopsis
Finite Group Theory develops the foundations of the theory of finite groups with an emphasis on the finite simple groups. It can serve as a text for advanced undergraduates or graduate students in mathematics and as a basic reference for research mathematicians.

Trade Review
'I consider this book as an extremely valuable source and help for anyone interested in a serious study of finite groups.' U. Dempwolff, Zentralblatt MATH

Table of 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.

Finite Group Theory Cambridge Studies in Advanced Mathematics Series Number 10

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    A Paperback by M. Aschbacher

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      Book details

      Publisher Cambridge University Press
      Published 6/26/2000 12:00:00 AM
      ISBN-13 9780521786751
      978-0521786751
      ISBN-10 0521786754
      Also in:
      Algebra

      Description

      Book Synopsis
      Finite Group Theory develops the foundations of the theory of finite groups with an emphasis on the finite simple groups. It can serve as a text for advanced undergraduates or graduate students in mathematics and as a basic reference for research mathematicians.

      Trade Review
      'I consider this book as an extremely valuable source and help for anyone interested in a serious study of finite groups.' U. Dempwolff, Zentralblatt MATH

      Table of 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.

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