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Record Nr. |
UNINA9910793246803321 |
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Autore |
Herfort Wolfgang |
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Titolo |
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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Pubbl/distr/stampa |
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Berlin ; ; Boston : , : De Gruyter, , [2019] |
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ISBN |
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3-11-059908-2 |
3-11-059919-8 |
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Descrizione fisica |
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1 online resource (358 pages) |
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Collana |
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De Gruyter Studies in Mathematics ; ; Volume 71 |
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Disciplina |
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Soggetti |
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Group theory |
Locally compact groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Frontmatter -- Preface -- Contents -- Overview -- Part I: Background information on locally compact groups -- Introduction -- 1. Locally compact spaces and groups -- 2. Periodic locally compact groups and their Sylow theory -- 3. Abelian periodic groups -- 4. Scalar automorphisms and the mastergraph -- 5. Inductively monothetic groups -- Part II: Near abelian groups -- Introduction -- 6. The definition of near abelian groups -- 7. Important consequences of the definitions -- 8. Trivial near abelian groups -- 9. The class of near abelian groups -- 10. The Sylow structure of periodic nontrivial near abelian groups and their prime graphs -- 11. A list of examples -- Part III: Applications -- Introduction -- 12. Classifying topologically quasihamiltonian groups -- 13. Locally compact groups with a modular subgroup lattice -- 14. Strongly topologically quasihamiltonian groups -- Bibliography -- List of symbols -- Index |
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Sommario/riassunto |
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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, classifi cation and use of inductively monothetic groups. The second part develops a general structure |
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