FINITE p-GROUPS IN WHICH NORMAL CLOSURES FOR EVERY NONNORMAL SUBGROUPS ARE MINIMAL NONABELIAN

Authors

  • Dapeng Yu Southwest Chongqing University - School of Mathematics and Statistics
  • Guiyun Chen Southwest Chongqing University - School of Mathematics and Statistics
  • Haibo Xue Chongqing College of Humanities - School of Mechanical and Information Engineering
  • Heng Lv Southwest Chongqing University - School of Mathematics and Statistics

Keywords:

finite p-group, normal closure, Minimal non-abelian, maximal class 2-group, regular p-group, 2-Engle group

Abstract

The authors study finite p-groups G such that AG is minimal non-abelian for all non-normal subgroup A < G.  This topic is Problem 805 posed by Berkovich and Janko in [?].  The authors give the complete classification of such kind of p-groups.

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Published

2015-06-30

How to Cite

Yu, D., Chen, G., Xue, H., & Lv, H. (2015). FINITE p-GROUPS IN WHICH NORMAL CLOSURES FOR EVERY NONNORMAL SUBGROUPS ARE MINIMAL NONABELIAN. Italian Journal of Pure and Applied Mathematics, 34, 431–436. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6340

Issue

Section

Articoli - Forum Editrice

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