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...
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter ; Higher Education Press
2018, ©2019
|
| Series: | De Gruyter Studies in Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| 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, classifi cation 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. |
|---|---|
| Physical Description: | LIII,, 301 Seiten |
| ISBN: | 978-3-11-059919-0 978-3-11-059908-4 |