Periodic Locally Compact Groups : : A Study of a Class of Totally Disconnected Topological Groups / / Karl H. Hofmann, Wolfgang Herfort, Francesco G. Russo.
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 introductio...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2018] ©2019 |
| Year of Publication: | 2018 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
71 |
| Online Access: | |
| Physical Description: | 1 online resource (LIII, 301 p.) |
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Table of Contents:
- 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