Twisted conjugacy classes of the unit element

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).

19 pages

References in corpus (2)

• Twisted conjugacy classes in residually finite groups
• On the Reidemeister spectrum and the $R_{\infty }$ property for some free nilpotent groups