On virtual indicability and property (T) for outer automorphism groups of RAAGs
Groups, geometry, and dynamics, Tome 18 (2024) no. 1, pp. 147-190
Voir la notice de l'article provenant de la source EMS Press
We give a condition on the defining graph of a right-angled Artin group, which implies that its automorphism group is virtually indicable, that is, it has a finite index subgroup that admits a homomorphism onto Z. We use this as a part of a criterion that determines precisely when the outer automorphism group of a right-angled Artin group defined on a graph with no separating intersection of links has property (T). As a consequence, we also obtain a similar criterion for graphs in which each equivalence class under the domination relation of Servatius generates an abelian group.
Classification :
20E36, 20F65
Mots-clés : automorphism group, right-angled Artin group, property (T)
Mots-clés : automorphism group, right-angled Artin group, property (T)
Affiliations des auteurs :
Andrew Sale 1
Andrew Sale. On virtual indicability and property (T) for outer automorphism groups of RAAGs. Groups, geometry, and dynamics, Tome 18 (2024) no. 1, pp. 147-190. doi: 10.4171/ggd/753
@article{10_4171_ggd_753,
author = {Andrew Sale},
title = {On virtual indicability and property {(T)} for outer automorphism groups of {RAAGs}},
journal = {Groups, geometry, and dynamics},
pages = {147--190},
year = {2024},
volume = {18},
number = {1},
doi = {10.4171/ggd/753},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/753/}
}
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