JournalsrsmupVol. 127falsepp. 249–255

On the Fixed-Point Set and Commutator Subgroup of an Authomorphism of a Group of Finite Rank

  • B.A.F. Wehrfritz

    Queen Mary University of London, UK
On the Fixed-Point Set and Commutator Subgroup of an Authomorphism of a Group of Finite Rank cover

Abstract

Let ϕ\phi be an automorphism of a group GG. For GG polycyclic, Endimioni and Moravec in [1] discuss the relationship between the fixed-point set CG(ϕ)C_G(\phi) and the commutator subgroup [G,ϕ][G,\phi] of ϕ\phi in GG. Here we extend these results to soluble groups satisfying various rank restrictions.

Cite this article

B.A.F. Wehrfritz, On the Fixed-Point Set and Commutator Subgroup of an Authomorphism of a Group of Finite Rank. Rend. Sem. Mat. Univ. Padova 127 (2012), pp. 249–255

DOI 10.4171/RSMUP/127-13