Yet another Freiheitssatz: Mating finite groups with locally indicable ones

Abstract

The main result includes as special cases on the one hand, the Gerstenhaber--Rothaus theorem (1962) and its generalisation due to Nitsche and Thom (2022) and, on the other hand, the Brodskii--Howie--Short theorem (1980--1984) generalising Magnus's Freiheitssatz (1930).

6 pages. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm V4: minor misprint corrections

Cited by in corpus (3)

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• Infinite systems of equations in abelian and nilpotent groups