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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Herfort, Wolfgang (Autor), Hofmann, Karl Heinrich (Autor), Russo, Francesco G. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : De Gruyter, [2019]
Colección:De Gruyter studies in mathematics ; 71.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Herfort, Wolfgang,  |e author. 
245 1 0 |a Periodic locally compact groups :  |b a study of a class of totally disconnected topological groups /  |c Wolfgang Herfort, Karl H. Hofmann, and Francesco G. Russo. 
264 1 |a Berlin ;  |a Boston :  |b De Gruyter,  |c [2019] 
264 4 |c ©2019 
300 |a 1 online resource (liii, 301 pages) :  |b illustrations. 
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490 1 |a De Gruyter Studies in Mathematics,  |x 0179-0986 ;  |v volume 71 
504 |a Includes bibliographical references (pages 289-294) and index. 
588 0 |a Online resource; title from digital title page (De Gruyter, viewed August 13, 2020). 
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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650 0 |a Locally compact groups. 
650 0 |a Abelian groups. 
650 6 |a Groupes localement compacts. 
650 6 |a Groupes abéliens. 
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650 7 |a Abelian groups  |2 fast 
650 7 |a Locally compact groups  |2 fast 
700 1 |a Hofmann, Karl Heinrich,  |e author. 
700 1 |a Russo, Francesco G.,  |e author. 
758 |i has work:  |a Periodic locally compact groups (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCG7w7JyGdb4twwffvcgjfq  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Herfort, Wolfgang.  |t Periodic locally compact groups.  |d Berlin ; Boston : De Gruyter, [2019]  |z 9783110598476  |w (DLC) 2018951343  |w (OCoLC)1082900665 
830 0 |a De Gruyter studies in mathematics ;  |v 71. 
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