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 intro...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston :
De Gruyter,
[2019]
|
| Series: | De Gruyter studies in mathematics ;
71. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| 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, classification 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."--Provided by publisher. |
| Physical Description: | 1 online resource (liii, 301 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 289-294) and index. |
| ISBN: | 9783110599190 3110599198 9783110599084 3110599082 |
| ISSN: | 0179-0986 ; |
Staff View
MARC
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| 520 | 8 | |a "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, classification 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."--Provided by publisher. | |
| 505 | 0 | 0 | |t Part I: Background information on locally compact groups. |t Locally compact spaces and groups ; |t Periodic locally compact groups and their Sylow theory ; |t Abelian periodic groups ; |t Scalar automorphisms and the mastergraph ; |t Inductively monothetic groups -- |t Part II: Near abelian groups. |t The definition of near abelian groups ; |t Important consequences of the definitions ; |t Trivial near abelian groups ; |t The class of near abelian groups ; |t The Sylow structure of periodic nontrivial near abelian groups and their prime graphs ; |t A list of examples -- |t Part III: Applications. |t Classifying topologically quasihamiltonian groups ; |t Locally compact groups with a modular subgroup lattice ; |t Strongly topologically quasihamiltonian groups. |
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Record in the Search Index
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| adam_text | |
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| author | Herfort, Wolfgang Hofmann, Karl Heinrich Russo, Francesco G. |
| author_facet | Herfort, Wolfgang Hofmann, Karl Heinrich Russo, Francesco G. |
| author_role | aut aut aut |
| author_sort | Herfort, Wolfgang |
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| 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. |
| ctrlnum | (OCoLC)1078913511 |
| dewey-full | 512.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.55 |
| dewey-search | 512.55 |
| dewey-sort | 3512.55 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2025-04-11T08:46:40Z |
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| issn | 0179-0986 ; |
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| series | De Gruyter studies in mathematics ; |
| series2 | De Gruyter Studies in Mathematics, |
| spelling | Herfort, Wolfgang, author. Periodic locally compact groups : a study of a class of totally disconnected topological groups / Wolfgang Herfort, Karl H. Hofmann, and Francesco G. Russo. Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (liii, 301 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter Studies in Mathematics, 0179-0986 ; volume 71 Includes bibliographical references (pages 289-294) and index. Online resource; title from digital title page (De Gruyter, viewed August 13, 2020). "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, classification 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."--Provided by publisher. 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. Locally compact groups. http://id.loc.gov/authorities/subjects/sh85077962 Abelian groups. http://id.loc.gov/authorities/subjects/sh85000128 Groupes localement compacts. Groupes abéliens. MATHEMATICS Algebra Intermediate. bisacsh Abelian groups fast Locally compact groups fast Electronic book. Hofmann, Karl Heinrich, author. Russo, Francesco G., author. has work: Periodic locally compact groups (Text) https://id.oclc.org/worldcat/entity/E39PCG7w7JyGdb4twwffvcgjfq https://id.oclc.org/worldcat/ontology/hasWork Print version: Herfort, Wolfgang. Periodic locally compact groups. Berlin ; Boston : De Gruyter, [2019] 9783110598476 (DLC) 2018951343 (OCoLC)1082900665 De Gruyter studies in mathematics ; 71. http://id.loc.gov/authorities/names/n83742913 |
| spellingShingle | Herfort, Wolfgang Hofmann, Karl Heinrich Russo, Francesco G. Periodic locally compact groups : a study of a class of totally disconnected topological groups / De Gruyter studies in mathematics ; 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. Locally compact groups. http://id.loc.gov/authorities/subjects/sh85077962 Abelian groups. http://id.loc.gov/authorities/subjects/sh85000128 Groupes localement compacts. Groupes abéliens. MATHEMATICS Algebra Intermediate. bisacsh Abelian groups fast Locally compact groups fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85077962 http://id.loc.gov/authorities/subjects/sh85000128 |
| title | Periodic locally compact groups : a study of a class of totally disconnected topological groups / |
| title_alt | 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. |
| title_auth | Periodic locally compact groups : a study of a class of totally disconnected topological groups / |
| title_exact_search | Periodic locally compact groups : a study of a class of totally disconnected topological groups / |
| title_full | Periodic locally compact groups : a study of a class of totally disconnected topological groups / Wolfgang Herfort, Karl H. Hofmann, and Francesco G. Russo. |
| title_fullStr | Periodic locally compact groups : a study of a class of totally disconnected topological groups / Wolfgang Herfort, Karl H. Hofmann, and Francesco G. Russo. |
| title_full_unstemmed | Periodic locally compact groups : a study of a class of totally disconnected topological groups / Wolfgang Herfort, Karl H. Hofmann, and Francesco G. Russo. |
| title_short | Periodic locally compact groups : |
| title_sort | periodic locally compact groups a study of a class of totally disconnected topological groups |
| title_sub | a study of a class of totally disconnected topological groups / |
| topic | Locally compact groups. http://id.loc.gov/authorities/subjects/sh85077962 Abelian groups. http://id.loc.gov/authorities/subjects/sh85000128 Groupes localement compacts. Groupes abéliens. MATHEMATICS Algebra Intermediate. bisacsh Abelian groups fast Locally compact groups fast |
| topic_facet | Locally compact groups. Abelian groups. Groupes localement compacts. Groupes abéliens. MATHEMATICS Algebra Intermediate. Abelian groups Locally compact groups Electronic book. |
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