paper

All actions of LERF groups on sets are sofic

arXiv:2402.17150

Abstract

In this paper, we shall prove that all actions of LERF groups on sets are sofic. As a corollary, we obtain that a large class of generalized wreath products are sofic.

Comments welcome! Version 2, incorporated comments from Andreas Thom and anonymous referees. In particular, per suggestion from Andreas Thom, all results are now framed in terms of the Chabauty topology. 5 pages

All actions of LERF groups on sets are sofic · wovepaper