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arXiv · 1703.08880

Locally compact wreath products

Yves Cornulier
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Abstract

Wreath products of non-discrete locally compact groups are usually not locally compact groups, nor even topological groups. We introduce a natural extension of the wreath product construction to the setting of locally compact groups. As an application, we disprove a conjecture of Trofimov, constructing compactly generated locally compact groups of intermediate growth without nontrivial compact normal subgroups.

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Yves Cornulier. 2017-03-26. Locally compact wreath products. https://doi.org/10.1017/s1446788718000216

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