A note on $\mathcal{M}$-normal embedded subgroups of finite groups
DOI:
https://doi.org/10.7146/math.scand.a-137337Abstract
In this note, we obtain a criterion for $p$-nilpotency of a finite group. We not only simplify the proofs of the main theorems of Chen et al. [On $\mathcal{M}$-normal embedded subgroups and the structure of finite groups, Math. Scand. 127(2021), no. 2, 243–251] but also generalize these results.
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