The Kegel–Wielandt $ \sigma $-Problem: Reduction to Simple Groups

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2025年1月29日

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S. F. Kamornikov,
V. N. Tyutyanov

摘要

We reducethe solution of the Kegel–Wielandt $ \sigma $ -problemfor an arbitrary partition $ \sigma $ of the set of all primesto its solution in the class of all $ \sigma $ -completesimple nonabelian groups.We also give a sufficient criterion for the $ \sigma $ -subnormality of a subgroup in a finite group for a partition $ \sigma $ in which 2 and 3 belong to the same component.

The Kegel–Wielandt \( \sigma \)-Problem: Reduction to Simple Groups

摘要