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http://dx.doi.org/10.4134/JKMS.2012.49.1.201

NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS  

Zhang, Qinhai (Department of Mathematics Shanxi Normal University)
Gao, Juan (Department of Mathematics Shanxi Normal University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 201-221 More about this Journal
Abstract
Assume G is a finite p-group and i is a fixed positive integer. In this paper, finite p-groups G with ${\mid}N_G(H):H{\mid}=p^i$ 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;
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