Abstract commensurators of right-angled Artin groups and mapping class groups
Abstract commensurators of right-angled Artin groups and mapping class groups
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直角Artin群和映射类群的抽象公子
DOI：
10.4310/mrl.2014.v21.n3.a4
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
D. Margalit
中科院分区：
文献类型：
--
作者：
Matt Clay;C. Leininger;D. Margalit
我们证明了，除了明显的例外，一个紧凑的可定向曲面的映射类群是不可抽象的直角Artin群。我们的论点适用于各种子群的映射类组---所产生的权力的德恩扭曲和条款的约翰逊过滤---此外，以外部自同构群的自由群和某些线性群。
We prove that, aside from the obvious exceptions, the mapping class group of a compact orientable surface is not abstractly commensurable with any right-angled Artin group. Our argument applies to various subgroups of the mapping class group---the subgroups generated by powers of Dehn twists and the terms of the Johnson filtration---and additionally to the outer automorphism group of a free group and to certain linear groups.