Subgroups and quotient groups of automorphism groups of RAAGs
Subgroups and quotient groups of automorphism groups of RAAGs
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RAAG 自同构群的子群和商群
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
K. Vogtmann
中科院分区：
文献类型：
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作者：
Ruth Charney;K. Vogtmann
本文研究了直角Artin群的外自同构群的子群和子群。我们证明，对于所有的RAAGS，外自同构群是剩余有限的，对于一个大类的RAAGs，它满足山雀替代。我们还调查这些自同构群包含非阿贝尔可解子群。
We study subgroups and quotients of outer automorphism groups of right-angled Artin groups (RAAGs). We prove that for all RAAGS, the outer automorphism group is residually finite and, for a large class of RAAGs, it satisfies the Tits alternative. We also investigate which of these automorphism groups contain non-abelian solvable subgroups.