Unrestricted wreath products and sofic groups Article uri icon

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. © 2019 World Scientific Publishing Company.

publication date

  • 2019-01-01