Periodic Locally Compact Groups : A Study of a Class of Totally Disconnected Topological Groups
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| Title: | Periodic Locally Compact Groups : A Study of a Class of Totally Disconnected Topological Groups |
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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 groups |
| Authors: | Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo |
| Resource Type: | eBook. |
| Subjects: | Locally compact groups, Abelian groups |
| Categories: | MATHEMATICS / Group Theory, MATHEMATICS / Algebra / Abstract |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 1990469 RelevancyScore: 1090 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1090.09973144531 |
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| Items | – Name: Title Label: Title Group: Ti Data: Periodic Locally Compact Groups : A Study of a Class of Totally Disconnected Topological Groups – Name: Abstract Label: Description Group: Ab Data: 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 – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wolfgang+Herfort%22">Wolfgang Herfort</searchLink><br /><searchLink fieldCode="AR" term="%22Karl+H%2E+Hofmann%22">Karl H. Hofmann</searchLink><br /><searchLink fieldCode="AR" term="%22Francesco+G%2E+Russo%22">Francesco G. Russo</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Locally+compact+groups%22">Locally compact groups</searchLink><br /><searchLink fieldCode="DE" term="%22Abelian+groups%22">Abelian groups</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Group+Theory%22">MATHEMATICS / Group Theory</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Abstract%22">MATHEMATICS / Algebra / Abstract</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 512.55 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Locally compact groups Type: general – SubjectFull: Abelian groups Type: general Titles: – TitleFull: Periodic Locally Compact Groups : A Study of a Class of Totally Disconnected Topological Groups Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wolfgang Herfort – PersonEntity: Name: NameFull: Karl H. Hofmann – PersonEntity: Name: NameFull: Francesco G. Russo – PersonEntity: Name: NameFull: Wolfgang Herfort – PersonEntity: Name: NameFull: Karl H. Hofmann – PersonEntity: Name: NameFull: Francesco G. Russo IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2019 – D: 02 M: 03 Type: profile Y: 2019 Identifiers: – Type: isbn-print Value: 9783110598476 – Type: isbn-electronic Value: 9783110599084 – Type: isbn-electronic Value: 9783110599190 Numbering: – Type: volume Value: 00071 Titles: – TitleFull: Periodic Locally Compact Groups : A Study of a Class of Totally Disconnected Topological Groups Type: main |
| ResultId | 1 |
