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

نویسندگان

1 Mathematics, Faculty of Science, University of Qom. Qom, Iran

2 Department of Mathematics, Faculty of Science, Iran University of Science & Technology, Tehran, Iran

doi
10.22108/ijgt.2018.104745.1437
چکیده

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