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The Order Classes of 2-Generator -Groups

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  • Mahmoud Bashir Alhasanat
  • Bilal Al-Hasanat
  • Eman Al-Sarairah

Abstract

In order to classify a finite group using its elements orders, the order classes are defined. This partition determines the number of elements for each order. The aim of this paper is to find the order classes of 2-generator -groups of class 2. The results obtained here are supported by Groups, Algorithm and Programming ( GAP ).

Suggested Citation

  • Mahmoud Bashir Alhasanat & Bilal Al-Hasanat & Eman Al-Sarairah, 2016. "The Order Classes of 2-Generator -Groups," Journal of Applied Mathematics, Hindawi, vol. 2016, pages 1-6, November.
    • Handle: RePEc:hin:jnljam:8435768
    DOI: 10.1155/2016/8435768
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