Scale and tidy subgroups for Weyl-transitive automorphism groups of buildings
نویسندگان
چکیده
منابع مشابه
Scale and Tidy Subgroups for Weyl-transitive Automorphism Groups of Buildings
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 ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2019
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2018.11.018