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Communications in Mathematics and Statistics

, Volume 5, Issue 4, pp 399–405 | Cite as

The Structure of a Finite Group Which is the Product of Two Subgroups with Some Subnormal Subgroups

  • Xinjian ZhangEmail author
  • Yong Xu
Article
  • 119 Downloads

Abstract

Let G be a group and \(G=G_1G_2\) where \(G_i\) are subgroups of G. In this paper, we investigate the structure of G under the conditions that some subgroups of \(G_i\) are subnormal in G.

Keywords

Subnormal subgroup Nilpotent group Solvable group 

Mathematics Subject Classification

20D10 20D15 

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Copyright information

© School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of Mathematical SciencesHuaiyin Normal UniversityHuai’anChina
  2. 2.School of Mathematics and StatisticsHenan University of Science and TechnologyLuoyangChina

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