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ISSN: 1558-6359 (Online)
Research Article Open Access

Some Conditions for P-Solubility of Finite Groups

Jehad Jumah Jaraden and Awni Faez Al-Dababseh

Abstract

A subgroup H of a group G is c-subnormal in G if G has a subnormal subgroup T such that HT=G and T 3 H ⊆ HG.[1] Using this concept, in Jaraden obtain[1] some new conditions for solubility of a finite group are given. Here we obtain local versions of these results.

Journal of Mathematics and Statistics
Volume 1 No. 3, 2005, 168-171

DOI: https://doi.org/10.3844/jmssp.2005.168.171

Published On: 30 September 2005

How to Cite: Jaraden, J. J. & Al-Dababseh, A. F. (2005). Some Conditions for P-Solubility of Finite Groups. Journal of Mathematics and Statistics, 1(3), 168-171. https://doi.org/10.3844/jmssp.2005.168.171

Open AccessCopyright: © 2005 Jehad Jumah Jaraden and Awni Faez Al-Dababseh. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Finite group
  • p-soluble group
  • maximal subgroup
  • normal index
  • c-subnormal subgroup