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Intersecting maximals

A. L. Gilotti, U. Tiberio (2002)

Bollettino dell'Unione Matematica Italiana

Given a class X of finite groups and a finite group G , the authors study the subgroup X G intersection of maximal subgroups that do not belong to X .

Isometry groups of non standard metric products

Bogdana Oliynyk (2013)

Open Mathematics

We consider isometry groups of a fairly general class of non standard products of metric spaces. We present sufficient conditions under which the isometry group of a non standard product of metric spaces splits as a permutation group into direct or wreath product of isometry groups of some metric spaces.

Isotropic random walks on affine buildings

James Parkinson (2007)

Annales de l’institut Fourier

In this paper we apply techniques of spherical harmonic analysis to prove a local limit theorem, a rate of escape theorem, and a central limit theorem for isotropic random walks on arbitrary thick regular affine buildings of irreducible type. This generalises results of Cartwright and Woess where A ˜ n buildings are studied, Lindlbauer and Voit where A ˜ 2 buildings are studied, and Sawyer where homogeneous trees are studied (these are A ˜ 1 buildings).

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