Read Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71)

Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71)

Wolfgang Herfort

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Description: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 groupsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71). To get started finding Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71), you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 455

Format: PDF, EPUB & Kindle Edition

Publisher: N/A

Release: N/A

ISBN: 3110599198

Description: 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 groupsWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71). To get started finding Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71)

Periodic Locally Compact Groups: A Study of a Class of Totally Disconnected Topological Groups (De Gruyter Studies in Mathematics Book 71)

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