NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS Zhang, Qinhai; Gao, Juan;
Assume G is a finite p-group and i is a fixed positive integer. In this paper, finite p-groups G with for all nonnormal subgroups H are classified up to isomorphism. As a corollary, this answer Problem 116(i) proposed by Y. Berkovich in his book "Groups of Prime Power Order Vol. I" in 2008.