Yet another Freiheitssatz: Mating finite groups with locally indicable ones

Anton A. Klyachko; Mikhail A. Mikheenko

doi:10.1017/S0017089522000349

Yet another Freiheitssatz: Mating finite groups with locally indicable ones

Group Theory 2023-08-11 v4

Authors: Anton A. Klyachko , Mikhail A. Mikheenko

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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).

Keywords

freiheitssatz finite groups locally indicable groups gerstenhaber-rothaus theorem brodskii-howie-short theorem

Cite

@article{arxiv.2204.01122,
  title  = {Yet another Freiheitssatz: Mating finite groups with locally indicable ones},
  author = {Anton A. Klyachko and Mikhail A. Mikheenko},
  journal= {arXiv preprint arXiv:2204.01122},
  year   = {2023}
}

Comments

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

Yet another Freiheitssatz: Mating finite groups with locally indicable ones

Abstract

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