Periodic Locally Compact Groups is popular PDF and ePub book, written by Wolfgang Herfort in 2018-11-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Periodic Locally Compact Groups can be Read Online from any device for your convenience.
Periodic Locally Compact Groups Book PDF 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. 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
Detail Book of Periodic Locally Compact Groups PDF
- Author : Wolfgang Herfort
- Release : 19 November 2018
- Publisher : Walter de Gruyter GmbH & Co KG
- ISBN : 9783110599190
- Genre : Mathematics
- Total Page : 354 pages
- Language : English
- PDF File Size : 15,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Periodic Locally Compact Groups by Wolfgang Herfort, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.
