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Acta Mathematica Vietnamica

Zassenhaus Filtrations as Intersections

Ján Mináč , icon-email Duy Tân Nguyễn , Thị Trà Nguyễn

Abstract

Zassenhaus filtrations of profinite groups are an important tool to study profinite groups. In this paper, we describe Zassenhaus filtrations of profinite groups as intersections of kernels of certain representations. In this way we introduce a link between studying profinite groups with methods of Zassenhaus filtrations and representation theory.