English

On the Automorphisms of Some One-Relator Groups

Group Theory 2007-05-23 v1

Abstract

The description of the automorphism group of group <a,b;[am,bn]=1><a, b; [a^m,b^n]=1> (m,n>1m,n>1) in terms of generators and defining relations is given. This result is applied to prove that any normal automorphism of every such group is inner.

Keywords

Cite

@article{arxiv.math/0408253,
  title  = {On the Automorphisms of Some One-Relator Groups},
  author = {D. Tieudjo and D. I. Moldavanskii},
  journal= {arXiv preprint arXiv:math/0408253},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T17:08:53.173Z