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

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arXiv · 1303.6755

Locally normal subgroups of simple locally compact groups

Pierre-Emmanuel Caprace·Colin D. Reid·George A. Willis

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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.

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Pierre-Emmanuel Caprace, Colin D. Reid, George A. Willis. 2013-03-27. Locally normal subgroups of simple locally compact groups. https://doi.org/10.1016/j.crma.2013.09.010

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