Abstract
Let G be a finite group and be a partition of the set of all primes
that is,
and
for all
A chief factor H/K of G is said to be σ-central in G if the semidirect product
is a σi-group for some
The group G is said to be σ-nilpotent if either G = 1 or every chief factor of G is σ-central in G. In this article, we study the properties and structures of a finite group G = AB, factorized by two σ-nilpotent subgroups A and B. Some known results are generalized.
Acknowledgments
The authors thank the referees for their careful reading and helpful comments.