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- W2765254444 abstract "We consider closed, Weyl-transitive groups of automorphisms of thick buildings. For each element of such a group, we derive a combinatorial formula for its scale and establish the existence of a tidy subgroup for it that equals the stabilizer of a simplex. Simplices whose stabilizers are tidy for some element of the group are characterized in terms of the minimal set of the isometry induced by the element on the Davis-realisation of the building and in terms of the Weyl-distance between them and their image. We use our results to derive some topological properties of closed, Weyl-transitive groups of automorphisms." @default.
- W2765254444 created "2017-11-10" @default.
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- W2765254444 date "2017-10-22" @default.
- W2765254444 modified "2023-09-25" @default.
- W2765254444 title "Scale and tidy subgroups for Weyl-transitive automorphism groups of buildings" @default.
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- W2765254444 hasPublicationYear "2017" @default.
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