- Title
- Compact open subgroups in simple totally disconnected groups
- Creator
- Willis, George A.
- Relation
- Journal of Algebra Vol. 312, Issue 1, p. 405-417
- Publisher Link
- http://dx.doi.org/10.1016/j.jalgebra.2006.06.049
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2007
- 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.
- Subject
- groups; simple; solvable; totally disconnected
- Identifier
- uon:6557
- Identifier
- http://hdl.handle.net/1959.13/804222
- Identifier
- ISSN:0021-8693
- Language
- eng
- Reviewed
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