A condition that prevents groups from acting nontrivially on trees
classification
🧮 math.GR
keywords
criterionactingcertainconditiondescribeexhibitingfinitegroup
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We describe a simple criterion for showing that a group has Serre's property FA. By exhibiting a certain pattern of finite subgroups, we show that this criterion is satisfied by Aut(F_n) and SL(n,Z) when n>=3.
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