| Description |
1 online resource (liii, 301 pages) : illustrations |
| Series |
De Gruyter Studies in Mathematics, 0179-0986 ; volume 71 |
|
De Gruyter studies in mathematics ; 71.
|
| Contents |
Part I: Background information on locally compact groups. Locally compact spaces and groups ; Periodic locally compact groups and their Sylow theory ; Abelian periodic groups ; Scalar automorphisms and the mastergraph ; Inductively monothetic groups -- Part II: Near abelian groups. The definition of near abelian groups ; Important consequences of the definitions ; Trivial near abelian groups ; The class of near abelian groups ; The Sylow structure of periodic nontrivial near abelian groups and their prime graphs ; A list of examples -- Part III: Applications. Classifying topologically quasihamiltonian groups ; Locally compact groups with a modular subgroup lattice ; Strongly topologically quasihamiltonian groups |
| Summary |
"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 |
| Bibliography |
Includes bibliographical references (pages 289-294) and index |
| Notes |
Current Copyright Fee: GBP17.50 0. Uk |
|
Online resource; title from digital title page (De Gruyter, viewed August 13, 2020) |
| Subject |
Locally compact groups.
|
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Abelian groups.
|
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MATHEMATICS -- Algebra -- Intermediate.
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Abelian groups
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Locally compact groups
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| Form |
Electronic book
|
| Author |
Hofmann, Karl Heinrich, author
|
|
Russo, Francesco G., author
|
| LC no. |
2018951343 |
| ISBN |
9783110599190 |
|
3110599198 |
|
9783110599084 |
|
3110599082 |
|
