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Compact open subgroups in simple totally disconnected groups

Willis, George A. (2007) Compact open subgroups in simple totally disconnected groups. Journal of Algebra, 312 (1). pp. 405-417.

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Abstract

It is shown that simplicity of a totally disconnected locally compact group G imposes (in the case when G is compactly generated) restrictions on the local structure of the group. For instance, if G is compactly generated and topologically simple, then no compact open subgroup of G is solvable. That G must be compactly generated for there to be a relationship between simplicity and local structure is demonstrated by several examples.

Item Type: Article
Uncontrolled Keywords: groups, simple, solvable, totally disconnected
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Dr David Allingham
Date Deposited: 28 Sep 2012 12:05
Last Modified: 28 Sep 2012 12:05
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1184

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