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Sylow theory, formations, and fitting classes in locally finite groups

Author: Martyn R Dixon
Publisher: Singapore ; River Edge, N.J. : World Scientific, ©1994.
Series: Series in algebra, vol. 2.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Examines the generalizations of the Sylow theorems and the related topics of formations and fitting classes to locally finite groups. The book also contains details of Sunkov's and Belyaev's results  Read more...

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Document Type: Book
All Authors / Contributors: Martyn R Dixon
ISBN: 9810217951 9789810217952
OCLC Number: 30913759
Description: xiii, 304 pages ; 23 cm.
Contents: 1. Basic concepts. 1.1. Group theoretical classes and closure operations. 1.2. Series of subgroups. 1.3. Radicals and residuals. 1.4. Local systems. 1.5. The minimum condition and Cernikov groups. 1.6. Generalizations of the minimum condition. 1.7. Some miscellaneous results --
2. Sylow theory in locally finite groups --
2.1. Introduction. 2.2. Elementary results and examples. 2.3. Conjugacy and the size of [actual symbol not reproducible]. 2.4. The Asar-Hartley Theorem for a general set of primes. 2.5. Groups with min-p. 2.6. Good Sylow subgroups --
3. Groups satisfying min-p for all primes p. 3.1. Sylow theory in groups with min-p for all primes p. 3.2. Locally soluble groups of finite rank. 3.3. Some properties of PSL(2, F). 3.4. The 2-radicable part of a group with min-p for all p. 3.5. The structure of groups with min-p for all primes p --
4. Groups with conjugate Sylow subgroups. 4.1. Upper [pi]-separable groups. 4.2. Groups with the minimum condition on centralizers.
Series Title: Series in algebra, vol. 2.
Responsibility: Martyn R. Dixon.

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