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Sylow Theory, Formations And Fitting Classes In Locally Finite Groups

(Autor)

Buch | Hardcover
320 Seiten
1994
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-1795-2 (ISBN)
124,70 inkl. MwSt
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 on locally finite groups with min-p for all primes p.
This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups. It also contains details of Sunkov's and Belyaev'ss results on locally finite groups with min-p for all primes p. This is the first time many of these topics have appeared in book form. The body of work here is fairly complete.

Part 1 Basic Concepts: Group Theoretical Classes and Closure Operations; Radicals and Residuals; Local Systems; The Minimum Condition and Cemikov Groups. Part 2 Sylow Theory in Locally Finite Groups: Some Conjugacy Theorems; The Asar-Hartley Theorem for a General Set of Primes; Groups with Min-p; Good Sylow Subgroups. Part 3 Groups Satisfying min-p for all Primes p: Sylow Theory in Groups with min-p for all Primes p; The 2-Radicable part of a group with min-p for all p; The Structure of Groups with min-p for all primes p. Part 4 Groups with Conjugate Sylow Subgroups: Upper p-Separable Groups; Groups with the Minimum Condition on Centralizers; Completely Sylow Integrated Groups; Metabelian Groups with Min-n. Part 5 Sylow Bases in Locally Finite Groups: Sylow Bases in U-Groups; Sylow Bases in Groups with min-p for all p; co-Hopfian Groups. (Part contents).

Erscheint lt. Verlag 1.12.1994
Reihe/Serie Series In Algebra ; 2
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik
ISBN-10 981-02-1795-1 / 9810217951
ISBN-13 978-981-02-1795-2 / 9789810217952
Zustand Neuware
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