This article is cited in 5 papers

On the virtual potency of some groups and free constructions

D. N. Azarov

Ivanovo State University

Abstract: We obtain some conditions for the virtual potency and virtual $\pi $-potency (where $\pi $ is the set of primes) of some HNN-extensions and generalized free products of soluble minimax groups.

Keywords: potent group, residually finite group, soluble minimax group, HNN-extension, Baumslag–Solitar group, generalized free product.

UDC: 512.543

MSC: 35R30

Received: 30.01.2022
Revised: 30.01.2022
Accepted: 15.06.2022

DOI: 10.33048/smzh.2022.63.601

 English version: Siberian Mathematical Journal, 2022, 63:6, 1023–1033