Abstract
Given a non-negative integer i, a finite p-group G is called an -group if
for every nonnormal subgroup H of G. It is proved that the center of
-group has order
or its derived subgroup is of order
. And the classification of MC(p)-groups is obtained.
KEYWORDS:
2020 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
The authors would like to thank the referee for his or her valuable suggestions and useful comments contributed to the final version of this paper.