Abstract:
Let $\sigma$ be a partition of the set of all prime numbers. In the paper the results of different years and different authors
concerning the Kegel–Wielandt $\sigma$-problem are discussed, and the approaches to its solution are analised.
Keywords:finite group, Hall subgroup, finite simple group, subnormal subgroup, Kegel–Wielandt problem, partition of the
set of all prime numbers, $\sigma$-subnormal subgroup, $\sigma$-complete group, Kegel–Wielandt $\sigma$-problem, subgroup lattice.
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