W. Herfort, K.H. Hofmann, F.G. Russo:

"Locally Compact Periodic Groups";

in Buchreihe "Studies in Mathematics", Buchreihen-Herausgeber: W. Herfort, K.H. Hofmann, F.G. Russo; Walter de Gruyter, 2018, ISBN: 978-3-11-059919-0.

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

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

Locally Compact Group, Periodic Group, Metabelian, Quasihamiltonian, Lattice of Groups

Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.