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arXiv · 1409.8184

Totally disconnected locally compact groups with a linear open subgroup

Pierre-Emmanuel Caprace·Thierry Stulemeijer
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Abstract

We describe the global structure of totally disconnected locally compact groups having a linear open compact subgroup. Among the applications, we show that if a non-discrete, compactly generated, topologically simple, totally disconnected locally compact group is locally linear, then it is a simple algebraic group over a local field.

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Pierre-Emmanuel Caprace, Thierry Stulemeijer. 2014-09-29. Totally disconnected locally compact groups with a linear open subgroup. https://doi.org/10.1093/imrn%2Frnv086

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