Abstract:
Let $\sigma$ be a partition of the set of all primes. A finite group $G$ is said to be $\sigma$-supersolvable if every $G$-chief factor of its $\sigma$-nilpotent residual is cyclic. This paper studies the structure of minimal non-$\sigma$-supersolvable groups that are not $\sigma$-solvable.
Keywords:finite group, $\sigma$-supersolvable group, minimal non-$\sigma$-supersolvable group, partition of the set of all primes.
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