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<p>Given an&#xa0;arbitrary partition <InlineEquation ID="IEq3"> <EquationSource Format="TEX">$ \sigma $</EquationSource> </InlineEquation> of the set of all primes, a&#xa0;solution to the Kegel–Wielandt <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$ \sigma $</EquationSource> </InlineEquation>-problemis proposed in the class of all groups whose special sets of subgroups are lower semilattices.</p>

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The Kegel–Wielandt \( \sigma \)-Problem and \( TI \)-Subgroups of Finite Groups

  • 期刊论文

  • 发表日期：

    2026年7月30日

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  • X. Yi,
  • S. F. Kamornikov,
  • V. N. Tyutyanov

摘要

Given an arbitrary partition $ \sigma $ of the set of all primes, a solution to the Kegel–Wielandt $ \sigma $ -problemis proposed in the class of all groups whose special sets of subgroups are lower semilattices.