Arithmetic quotients of the automorphism group of a right-angled Artin group

نویسندگان

چکیده

It was previously shown by Grunewald and Lubotzky that the automorphism group of a free group, $\operatorname{Aut}(F\_n)$, has large collection virtual arithmetic quotients. Analogous results were proved for mapping class Looijenga Grunewald, Larsen, Lubotzky, Malestein. In this paper, we prove analogous right-angled Artin defining graphs. As corollary our methods produce new quotients $\operatorname{Aut}(F\_n)$ $n \geq 4$ where $k$th powers all transvections act trivially some fixed $k$. Thus, values $k$, deduce quotient subgroup generated contains nonabelian groups. This expands on Malestein Putman Bridson Vogtmann.

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ژورنال

عنوان ژورنال: Groups, Geometry, and Dynamics

سال: 2022

ISSN: ['1661-7207', '1661-7215']

DOI: https://doi.org/10.4171/ggd/691