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

Document Type: Research Paper

Authors

Newcastle University

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 $\Conjv(G_{\Gamma})$‎.

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