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- Title
Unrestricted wreath products and sofic groups.
- Authors
Arzhantseva, Goulnara; Berlai, Federico; Finn-Sell, Martin; Glebsky, Lev
- 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.
- Subjects
GROUP products (Mathematics); GROUP extensions (Mathematics); WREATH products (Group theory)
- Publication
International Journal of Algebra & Computation, 2019, Vol 29, Issue 2, p343
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S021819671950005X