On Solvable Subgroups of Automorphism Groups of Right-Angled Artin Groups
نویسنده
چکیده
For any right-angled Artin group, we show that its outer automorphism group contains either a finite-index nilpotent subgroup or a nonabelian free subgroup. This is a weak Tits alternative theorem. We find a criterion on the defining graph that determines which case holds. We also consider some examples of solvable subgroups, including one that is not virtually nilpotent and is embedded in a non-obvious way.
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ورودعنوان ژورنال:
- IJAC
دوره 21 شماره
صفحات -
تاریخ انتشار 2011