Locally normal subgroups of simple locally compact groups

Pierre Emmanuel Caprace; Colin D. Reid; George A. Willis

doi:10.1016/j.crma.2013.09.010

Locally normal subgroups of simple locally compact groups

Pierre Emmanuel Caprace
, Colin D. Reid
, George A. Willis

Université catholique de Louvain
University of Newcastle

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consists of commensurability classes of compact subgroups with open normaliser, and show that its properties reflect the global structure of the ambient group.

Original language	English
Pages (from-to)	657-661
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	351
Issue number	17-16
DOIs	https://doi.org/10.1016/j.crma.2013.09.010
Publication status	Published - Sept 2013
Externally published	Yes

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10.1016/j.crma.2013.09.010

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title = "Locally normal subgroups of simple locally compact groups",

abstract = "We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consists of commensurability classes of compact subgroups with open normaliser, and show that its properties reflect the global structure of the ambient group.",

author = "Caprace, \{Pierre Emmanuel\} and Reid, \{Colin D.\} and Willis, \{George A.\}",

year = "2013",

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doi = "10.1016/j.crma.2013.09.010",

language = "English",

volume = "351",

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AU - Caprace, Pierre Emmanuel

AU - Reid, Colin D.

AU - Willis, George A.

PY - 2013/9

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AB - We announce various results concerning the structure of compactly generated simple locally compact groups. We introduce a local invariant, called the structure lattice, which consists of commensurability classes of compact subgroups with open normaliser, and show that its properties reflect the global structure of the ambient group.

UR - https://www.scopus.com/pages/publications/84887220182

UR - https://go.openathens.net/redirector/westernsydney.edu.au?url=https://doi.org/10.1016/j.crma.2013.09.010

U2 - 10.1016/j.crma.2013.09.010

DO - 10.1016/j.crma.2013.09.010

M3 - Article

AN - SCOPUS:84887220182

SN - 1631-073X

VL - 351

SP - 657

EP - 661

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 17-16

ER -

Locally normal subgroups of simple locally compact groups

Abstract

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