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• W3105960525 abstract "Let $T$ be a locally finite tree without vertices of degree $1$ . We show that among the closed subgroups of $text{Aut}(T)$ acting with a bounded number of orbits, the Chabauty-closure of the set of topologically simple groups is the set of groups without proper open subgroup of finite index. Moreover, if all vertices of $T$ have degree ${geqslant}3$ , then the set of isomorphism classes of topologically simple closed subgroups of $text{Aut}(T)$ acting doubly transitively on $unicode[STIX]{x2202}T$ carries a natural compact Hausdorff topology inherited from Chabauty. Some of our considerations are valid in the context of automorphism groups of locally finite connected graphs. Applications to Weyl-transitive automorphism groups of buildings are also presented." @default.
• W3105960525 created "2020-11-23" @default.
• W3105960525 creator A5079752528 @default.
• W3105960525 creator A5085968796 @default.
• W3105960525 date "2018-08-06" @default.
• W3105960525 modified "2023-10-17" @default.
• W3105960525 title "CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES" @default.
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• W3105960525 doi "https://doi.org/10.1017/s1474748018000348" @default.
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