English

Twisted conjugacy classes of the unit element

Group Theory 2013-03-07 v2

Abstract

We study twisted conjugacy classes of the unit element in different groups. Fel'shtyn and Troitsky showed that the twisted conjugacy class of the unit element of an abelian group is a subgroup for every automorphism. The structure is investigated of a group whose twisted conjugacy class of the unit element is a subgroup for every automorphism (inner automorphism).

Keywords

Cite

@article{arxiv.1303.0941,
  title  = {Twisted conjugacy classes of the unit element},
  author = {V. G. Bardakov and T. R. Nasybullov and M. V. Neshchadim},
  journal= {arXiv preprint arXiv:1303.0941},
  year   = {2013}
}

Comments

19 pages

R2 v1 2026-06-21T23:36:43.636Z