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" Periodic locally compact groups : "
Wolfgang Herfort, Karl H. Hofmann, and Francesco G. Russo.
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BL
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| Record Number
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863467
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| Main Entry
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Herfort, Wolfgang
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| Title & Author
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Periodic locally compact groups : : a study of a class of totally disconnected topological groups /\ Wolfgang Herfort, Karl H. Hofmann, and Francesco G. Russo.
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| Publication Statement
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Berlin ;Boston :: De Gruyter,, [2019]
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, ©2019
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| Series Statement
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De Gruyter Studies in Mathematics,; volume 71
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| Page. NO
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1 online resource (liii, 301 pages) :: illustrations.
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| ISBN
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3110599082
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: 3110599198
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: 9783110599084
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: 9783110599190
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3110598477
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9783110598476
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Includes bibliographical references (pages 289-294) and index.
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| Abstract
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"This authoritative book on periodic locally compact groups is divided into three parts: The first part covers the necessary background material on locally compact groups including the Chabauty topology on the space of closed subgroups of a locally compact group, its Sylow theory, and the introduction, classification and use of inductively monothetic groups. The second part develops a general structure theory of locally compact near abelian groups, pointing out some of its connections with number theory and graph theory and illustrating it by a large exhibit of examples. Finally, the third part uses this theory for a complete, enlarged and novel presentation of Mukhin's pioneering work generalizing to locally compact groups Iwasawa's early investigations of the lattice of subgroups of abstract groups."--Provided by publisher.
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| Subject
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Abelian groups.
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Locally compact groups.
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Abelian groups.
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Locally compact groups.
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| Subject
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MATHEMATICS-- Algebra-- Intermediate.
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| Dewey Classification
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512.55
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| LC Classification
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QA387.H47 2019
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| Added Entry
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Hofmann, Karl Heinrich
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Russo, Francesco G.
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