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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

On Permutable Subgroups of n-ary Groups

Awni Fayez Al-Dababseh

Abstract

It is proved that every permutable subgroup of a finite n-ary group is subnormal.

American Journal of Applied Sciences
Volume 2 No. 11, 2005, 1491-1492

DOI: https://doi.org/10.3844/ajassp.2005.1491.1492

Submitted On: 19 November 2005 Published On: 30 November 2005

How to Cite: Al-Dababseh, A. F. (2005). On Permutable Subgroups of n-ary Groups. American Journal of Applied Sciences, 2(11), 1491-1492. https://doi.org/10.3844/ajassp.2005.1491.1492

Open AccessCopyright: © 2005 Awni Fayez 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 n-ary group
  • permutable n-ary group
  • subnormal n-ary group