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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (63), 2010/

Properties of final unrefinable chains of groups topologies

Authors: Arnautov Vladimir

Abstract

Let G be a nilpotent group and (M,<) be the lattice of all group topologies or the lattice of all group topologies in each of which the group G possesses a basis of neighborhood of unit consisting of subgroups. If τ and τ' are group topologies from M such that then k≤n for any chain τ=τ0'<τ1'<...<τk'τ' of topologies from M.

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