A presentation for the subgroup of compressed conjugating automorphisms of a partially commutative group

Abstract

‎Let $G_{Gamma}$ be a partially commutative group‎. ‎We find a finite presentation for the subgroup $Conjv(G_{Gamma})$ of compressed‎ ‎vertex conjugating automorphisms of the automorphism group‎ ‎$Aut(G_{Gamma})$ of $G_{G}$‎. ‎We have written GAP packages which compute presentations for $Aut(G_{Gamma})$ and its subgroups‎ ‎$Conj(G_{Gamma})$ and $Conjv(G_{Gamma})$‎