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arXiv · 1802.04688

Unrestricted wreath products and sofic groups

Goulnara Arzhantseva·Federico Berlai·Martin Finn-Sell·Lev Glebsky
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Abstract

We show that the unrestricted wreath product of a sofic group by an amenable group is sofic. We use this result to present an alternative proof of the known fact that any group extension with sofic kernel and amenable quotient is again a sofic group. Our approach exploits the famous Kaloujnine-Krasner theorem and extends, with an additional argument, to hyperlinear-by-amenable groups.

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Goulnara Arzhantseva, Federico Berlai, Martin Finn-Sell, Lev Glebsky. 2018-02-13. Unrestricted wreath products and sofic groups. https://arxiv.org/abs/1802.04688

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