Locally Finite Groups. (= Reihe: North-Holland Mathematical Library, Volume 3). Erstausgabe.

Kegel, Otto H. [Helmut]; Wehrfritz, Bertram A. F.

ISBN 10: 0720424542 / ISBN 13: 9780720424546

Published by North-Holland Publishing Company, Amsterdam and American Elsevier Publishing Company, Inc., New York, Amsterdam, New York, 1973

About this Item

Fadengehefteter Ganzleineneinband mit goldgeprägtem Rückentitel, Deckelprägung und Schutzumschlag. Der Umschlag leicht nachgedunkelt, dezent berieben und vereinzelt mit kleinem Knickchen, der untere Rand von Umschlag und Buchblock mit leichter Stauchung, ansonsten rundum guter Erhaltungszustand. "The principle aim of this bookis to provide a unified account of some of the deep structure theorems proved recently for various types of locally finite groups. Much of the material presented has only previously been available in research journals. The first chapter is devoted to the basic methods, concepts and examples of finite group theory for the benefit of readers who are not already familiar with the subject. Centralizers and abelian subgroups in locally finite groups form the subject of another chapter followed by a study of locally finite groups satisfying the minimal condition for p-subgroups, p a prime, as they are important to our knowledge of locally finite groups. (Up to this point only the most rudimentary facts about finite groups have been used, except for occasional reference to the Feit-Thompson theorem.) Chapter 4 deals with simple groups to locally finite groups; these results are fully stated, but not proven here. With these powerful tools at hand, some deep and useful characterizations of the groups PSL [s,F] for locally finite fields F of odd characteristic are proven. These rules are the fundamental tools for classifying locally finite groups satisfying various minimality conditions. ln particular it is shown that a locally finite group satisfying the minimal condition for subgroups has an abelian normal subgroup of finite index. The final chapter gives a brief account of the properties of the universal locally finite groups constructed by P. Hall. This book could be used at advanced undergraduate level or as a text for a graduate level course introducing infinite (periodic) groups. The latter parts, however, require a deeper knowledge of finite groups." (Verlagstext) Otto Helmut Kegel (* 20. Juli 1934 in Bethlehem (Pennsylvania)) ist ein deutscher Mathematiker, der sich mit Gruppentheorie beschäftigt. Kegel machte 1954 in Frankfurt am Main sein Abitur und wurde 1961 an der Johann-Wolfgang-Goethe-Universität Frankfurt am Main bei Reinhold Baer promoviert (Vertauschbarkeit von Untergruppen und Kompositionsstruktur in endlichen Gruppen). 1966 habilitierte er sich in Frankfurt. 1967 war er Dozent an der Universität zu Köln und 1968 Reader an der Universität London und 1970 Professor. Ab 1975 war er ordentlicher Professor an der Albert-Ludwigs-Universität Freiburg. 1999 wurde er emeritiert. Er war 1975 bis 1989 Mitherausgeber des Archivs für Mathematik, 1970 bis 1972 des Journal und der Proceedings der London Mathematical Society, 1974 bis 1985 der Communications in Algebra und 1978 bis 1985 der Mathematischen Zeitschrift. 1962 hielt er einen Vortrag auf dem Internationalen Mathematikerkongress in Stockholm (Locally finite groups with a partition). (Wikipedia) In englischer Sprache. XI, (I), 210, (2) pages. Groß 8° (162 x 228mm).

Seller Inventory # BN32875

Bibliographic Details

• Title: Locally Finite Groups. (= Reihe: North-Holland Mathematical Library, Volume 3). Erstausgabe.
• Publisher: North-Holland Publishing Company, Amsterdam and American Elsevier Publishing Company, Inc., New York, Amsterdam, New York
• Publication Date: 1973
• Language: English
• ISBN 10: 0720424542
• ISBN 13: 9780720424546
• Binding: Leinen
• Edition: First Printing.
• Condition: gut
• Dust Jacket Condition: Dust Jacket Included

About this title

Synopsis

Hardcover. A few marks and scores on dust jacket. Jacket leading corners, edges and spine ends are worn. Nicks on jacket spine foot and front lower leading corner. A few minor marks on page block. Hardcover spine foot is lighly bumped. Binding is intact, contents are clean and clear. AM