We introduce the palindromic automorphism group and the palindromic Torelli group of a right-angled Artin group AΓ. The palindromic automorphism group ΠAΓ is related to the principal congruence subgroups of GL(n,Z) and to the hyperelliptic mapping class group of an oriented surface, and sits inside the centraliser of a certain hyperelliptic involution in Aut(AΓ). We obtain finite generating sets for ΠAΓ and for this centraliser, and determine precisely when these two groups coincide. We also find generators for the palindromic Torelli group.
Classification :
20-XX
Mots-clés :
Right-angled Artin groups, automorphism groups of groups, palindromes, Torelli group
Affiliations des auteurs :
Neil J. Fullarton
1
;
Anne Thomas
2
1
Rice University, Houston, USA
2
University of Sydney, Australia
Neil J. Fullarton; Anne Thomas. Palindromic automorphisms of right-angled Artin groups. Groups, geometry, and dynamics, Tome 12 (2018) no. 3, pp. 865-887. doi: 10.4171/ggd/458
@article{10_4171_ggd_458,
author = {Neil J. Fullarton and Anne Thomas},
title = {Palindromic automorphisms of right-angled {Artin} groups},
journal = {Groups, geometry, and dynamics},
pages = {865--887},
year = {2018},
volume = {12},
number = {3},
doi = {10.4171/ggd/458},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/458/}
}
TY - JOUR
AU - Neil J. Fullarton
AU - Anne Thomas
TI - Palindromic automorphisms of right-angled Artin groups
JO - Groups, geometry, and dynamics
PY - 2018
SP - 865
EP - 887
VL - 12
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.4171/ggd/458/
DO - 10.4171/ggd/458
ID - 10_4171_ggd_458
ER -
%0 Journal Article
%A Neil J. Fullarton
%A Anne Thomas
%T Palindromic automorphisms of right-angled Artin groups
%J Groups, geometry, and dynamics
%D 2018
%P 865-887
%V 12
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/458/
%R 10.4171/ggd/458
%F 10_4171_ggd_458
