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Locally Finite Groups.

Author: Unknown
Publisher: Burlington : Elsevier Science, 1973.
Edition/Format:   Print book : Document   Computer File : English
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Unknown.
Locally Finite Groups.
Burlington : Elsevier Science, ©1973
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Unknown
ISBN: 9780080954134 0080954138
OCLC Number: 761646754
Notes: Locally Finite Groups.
Description: 1 online resource (223 pages)
Contents: Front Cover; Locally Finite Groups; Copyright Page; Contents; INTRODUCTION; NOTATION; CHAPTER 1. BASIC METHODS, CONCEPTS AND EXAMPLES; A. n-Finite groups, series and local systems; B. Locally soluble chief factors and some characteristic subgroups; C. Stability groups; D. Maximal p-subgroups; E. The minimal condition on subgroups; F. Periodic groups of automorphisms of Cernikov groups; G. The minimal condition on Abelian subgroups; H. The minimal condition on normal subgroups; I. 2-Groups of small depth; J. Frobenius groups; K. Inverse limit arguments; L. Linear groups. CHAPTER 2. CENTRALIZERS IN LOCALLY FINITE GROUPSCHAPTER 3. LOCALLY FINITE GROUPS WITH min-p; A.A Sylow theory for locally finite groups with min-p; B. Applications of Sylow theory to the structure of groups with min-p; CHAPTER 4. LOCALLY FINITE SIMPLE GROUPS; A. Infinite and finite simple groups. an approximation principle; B. An embedding theorem and concrete examples; C. Immediate applications to a few structure theorems; CHAPTER 5. CHARACTERIZATIONS OF THE GROUPS PSL(2, F) AND OF CERTAIN LOCALLY-SOLUBLE-BY-FINITE GROUPS. A. Characterizations of the groups PSL(2, F) for locally finite fields of odd characteristic B. Structure theorems for groups satisfying certain minimality conditions; CHAPTER 6. UNIVERSAL GROUPS AND DIRECT LIMITS OF SYMMETRIC GROUPS; FINAL COMMENTS; BIBLIOGRAPHY; INDEX.

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