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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/804222

Title: Compact open subgroups in simple totally disconnected groups
Author/Creator: Willis, George A.
Description: 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.
Relation: Journal of Algebra Vol. 312, Issue 1, p. 405-417
Publisher Link: http://dx.doi.org/10.1016/j.jalgebra.2006.06.049
Date: 2007
Publisher: Academic Press
Keyword(s): groups; simple; solvable; totally disconnected
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/804222
Identifier: ISSN:0021-8693
Language: eng

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