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http://dx.doi.org/10.4134/BKMS.b171107

FINITE p-GROUPS IN WHICH THE NORMALIZER OF EVERY NON-NORMAL SUBGROUP IS CONTAINED IN ITS NORMAL CLOSURE

Bai, Pengfei (School of Applied Mathematics Shanxi University of Finance and Economics)
Guo, Xiuyun (Department of Mathematics Shanghai University)
Wang, Junxin (School of Applied Mathematics Shanxi University of Finance and Economics)

Publication Information

Bulletin of the Korean Mathematical Society / v.55, no.6, 2018 , pp. 1835-1843 More about this Journal

Abstract

In this paper, finite p-groups G satisfying $N_G(H){\leq}H^G$ for every non-normal subgroup H of G are completely classified. This solves a problem proposed by Y. Berkovich.

Keywords

normalizer; normal closure; Dedekind p-group; p-group of maximal class;

Citations & Related Records

Reference

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