Finite groups theory

By: I. Martin IsaacsMaterial type: TextTextSeries: Graduate Studies in Mathematics ; Vol. 92Publication details: Rhode Island: American Mathemetical Society, [c2008]Description: 350 pISBN: 9780821868843Subject(s): MathematicsLOC classification: QA177
Contents:
Chapter 1. Sylow theory Chapter 2. Subnormality Chapter 3. Split extensions Chapter 4. Commutators Chapter 5. Transfer Chapter 6. Frobenius actions Chapter 7. The Thompson subgroup Chapter 8. Permutation groups Chapter 9. More on subnormality Chapter 10. More transfer theory Chapter 11. The basics
Summary: The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal p-complement theorem. Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the “principal ideal theorem” of transfer theory and many smaller results that are not very well known. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA177 (Browse shelf (Opens below)) Available Billno:IN 003 582; Billdate: 2018-01-11 00920
Total holds: 0

Chapter 1. Sylow theory
Chapter 2. Subnormality
Chapter 3. Split extensions
Chapter 4. Commutators
Chapter 5. Transfer
Chapter 6. Frobenius actions
Chapter 7. The Thompson subgroup
Chapter 8. Permutation groups
Chapter 9. More on subnormality
Chapter 10. More transfer theory
Chapter 11. The basics

The text begins with a review of group actions and Sylow theory. It includes semidirect products, the Schur–Zassenhaus theorem, the theory of commutators, coprime actions on groups, transfer theory, Frobenius groups, primitive and multiply transitive permutation groups, the simplicity of the PSL groups, the generalized Fitting subgroup and also Thompson's J-subgroup and his normal p-complement theorem.

Topics that seldom (or never) appear in books are also covered. These include subnormality theory, a group-theoretic proof of Burnside's theorem about groups with order divisible by just two primes, the Wielandt automorphism tower theorem, Yoshida's transfer theorem, the “principal ideal theorem” of transfer theory and many smaller results that are not very well known. --- summary provided by publisher

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