Right-angled Artin groups as finite-index subgroups of their outer automorphism groups
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Author
Date
2024-03Type
- Journal Article
ETH Bibliography
yes
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Abstract
We prove that every right-angled Artin group occurs as a finite-index subgroup of the outer automorphism group of another right-angled Artin group. We furthermore show that the latter group can be chosen in such a way that the quotient is isomorphic to (Z/2Z)ᴺ for some N. For these, we give explicit constructions using the group of pure symmetric outer automorphisms. Moreover, we need two conditions by Day-Wade and Wade-Bruck about when this group is a right-angled Artin group and when it has finite index. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000650324Publication status
publishedExternal links
Journal / series
Bulletin of the London Mathematical SocietyVolume
Pages / Article No.
Publisher
WileyMore
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ETH Bibliography
yes
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