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<p>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.</p>

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Zassenhaus Filtrations as Intersections

  • 期刊论文

  • 发表日期：

    2026年7月6日

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  • Ján Mináč,
  • Duy Tân Nguyễn,
  • Thị Trà Nguyễn

摘要

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.