Periodic Locally Compact Groups A Study of a Class of Totally Disconnected Topological Groups
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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| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter ; Higher Education Press
2018, ©2019
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| Series: | De Gruyter Studies in Mathematics
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| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
Table of 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