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arXiv · 1510.03939

Palindromic automorphisms of right-angled Artin groups

Neil J. Fullarton·Anne Thomas
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Abstract

We introduce the palindromic automorphism group and the palindromic Torelli group of a right-angled Artin group A_G. The palindromic automorphism group Pi A_G 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(A_G). We obtain finite generating sets for Pi A_G and for this centraliser, and determine precisely when these two groups coincide. We also find generators for the palindromic Torelli group.

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Neil J. Fullarton, Anne Thomas. 2016-10-28. Palindromic automorphisms of right-angled Artin groups. https://arxiv.org/abs/1510.03939

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