CONJUGACY CLASS SIZES OF SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS

Authors

  • Zhangjia Han Chengdu University of Information Technology - School of Applied Mathematics
  • Huaguo Shi Sichuan Vocational and Technical College

Keywords:

index, p-solvable group, supersolvable group, p-nilpotent group

Abstract

The authors investigate the influences of conjugacy class sizes of subgroups of a finite groups G on the structure of G.  Some sufficient conditions for a finite group to be p-nilpotent, p- solvable and supersolvable are obtained.

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Published

2014-12-29

How to Cite

Han, Z., & Shi, H. (2014). CONJUGACY CLASS SIZES OF SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS. Italian Journal of Pure and Applied Mathematics, 33, 285–292. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6255

Issue

Section

Articoli - Forum Editrice

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