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190729 ||| eng |
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|a 978-3-11-059919-0
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|a 978-3-11-059908-4
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4 |
|a QA387
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|a Herfort, Wolfgang
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| 245 |
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|a Periodic Locally Compact Groups
|h Elektronische Ressource
|b A Study of a Class of Totally Disconnected Topological Groups
|c Wolfgang Herfort (Institut for Analysis & Scientific Computing, Vienna University of Technology), Karl H. Hofmann (Fachbereich Mathematik, Technische Universität Darmstadt), and Francesco G. Russo (Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa)
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| 260 |
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|a Berlin ; Boston
|b De Gruyter ; Higher Education Press
|c 2018, ©2019
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| 300 |
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|a LIII,, 301 Seiten
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|a 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
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| 653 |
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|a Lokal kompakte Gruppe
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| 653 |
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|a Topologische Gruppe
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| 653 |
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|a Algebra
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| 653 |
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|a Zahlentheorie
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| 653 |
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|a Groups & group theory
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| 653 |
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|a Mathematics
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| 653 |
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|a Standard Discount
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| 653 |
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|a Hardback
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| 653 |
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|a Hardcover, Softcover
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| 653 |
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|a Fachpublikum
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| 653 |
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|a Wissenschaft
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| 653 |
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|a Abstract
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| 653 |
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|a Gruppentheorie
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| 653 |
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|a Lokal kompakte Gruppe
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| 653 |
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|a Mathematik
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| 700 |
1 |
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|a Hofmann, Karl H.
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| 700 |
1 |
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|a Russo, Francesco G.
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
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|a De Gruyter Studies in Mathematics
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| 028 |
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|a 10.1515/9783110599190
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| 776 |
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|z 978-3-11-059847-6
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|u https://www.degruyter.com/doi/book/10.1515/9783110599190
|x Verlag
|3 Volltext
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| 082 |
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|a 512.55
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| 520 |
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|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, 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.
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