Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/homomorphisms-into-totally-disconnected-locally-compact-groups-with-hIphsJw2Td
References (18)
-
V. Belyaev (1992)
Locally finite groups containing a finite inseparable subgroupSiberian Mathematical Journal, 34
-
R. Grigorchuk, R. Kravchenko, A. Olshanskii (2014)
Constructions of torsion-free countable, amenable, weakly mixing groupsarXiv: Dynamical Systems
-
François MAÎTRE, Phillip Wesolek (2015)
On strongly just infinite profinite branch groupsJournal of Group Theory, 20
-
A. Boudec, Phillip Wesolek (2016)
Commensurated subgroups in tree almost automorphism groupsGroups, Geometry, and Dynamics
-
Y. Shalom, G. Willis (2009)
Commensurated Subgroups of Arithmetic Groups, Totally Disconnected Groups and Adelic RigidityGeometric and Functional Analysis, 23
-
G. Willis (2003)
Tidy subgroups for commuting automorphisms of totally disconnected groups: an analogue of simultaneous triangularisation of matricesarXiv: Group Theory
-
G. Folland (1995)
A course in abstract harmonic analysis -
Phillip Wesolek (2014)
Elementary totally disconnected locally compact groupsProceedings of the London Mathematical Society, 110
-
Lukasz Garncarek, Nir Lazarovich (2015)
The Neretin groupsarXiv: Group Theory
-
G. Willis (1994)
The structure of totally disconnected locally compact groupsMathematische Annalen, 300
-
Ihrer Grenzgebiete, Theorie Der, Konvexen Körper (1975)
Ergebnisse der Mathematik und ihrer GrenzgebieteSums of Independent Random Variables
-
Matthew Brin (2005)
Elementary Amenable Subgroups of R. Thompson's Group FInt. J. Algebra Comput., 15
-
(2018)
Topological full groups and completions of Thompson’s V -
Colin Reid (2015)
Dynamics of flat actions on totally disconnected, locally compact groupsarXiv: Group Theory
-
G. Schlichting (1980)
Operationen mit periodischen StabilisatorenArchiv der Mathematik, 34
-
A. Kechris (1987)
Classical descriptive set theory -
Colin Reid, Phillip Wesolek (2016)
Dense normal subgroups and chief factors in locally compact groupsProceedings of the London Mathematical Society, 116
-
G. Higman, B. Neumann, H. Neuman (1949)
Embedding Theorems for GroupsProceedings of the Edinburgh Mathematical Society, 13
- Publisher
- de Gruyter
- Copyright
- © 2019 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/forum-2018-0017
- Publisher site
- See Article on Publisher Site
Abstract
AbstractLet ϕ:G→H{\phi:G\rightarrow H}be a group homomorphism such that H is a totally disconnected locally compact (t.d.l.c.) group and the image of ϕ is dense. We show that all such homomorphisms arise as completions of G with respect to uniformities of a particular kind. Moreover, H is determined up to a compact normal subgroup by the pair (G,ϕ-1(L)){(G,\phi^{-1}(L))}, where L is a compact open subgroup of H. These results generalize the well-known properties of profinite completions to the locally compact setting.
Journal
Forum Mathematicum – de Gruyter
Published: May 1, 2019