NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS

Title & Authors
NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS
Zhang, Qinhai; Gao, Juan;

Abstract
Assume G is a finite p-group and i is a fixed positive integer. In this paper, finite p-groups G with $\small{{\mid}N_G(H):H{\mid}=p^i}$ 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.
Keywords
finite p-groups;nonnormal subgroups;self-normalizer;central extensions;
Language
English
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