The Order Classes of 2-Generator p-Groups

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

doi:10.1155/2016/8435768

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Home > Journals > J. Appl. Math. > Volume 2016 > Article

2016 The Order Classes of 2-Generator

p

-Groups

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

J. Appl. Math. 2016: 1-6 (2016). DOI: 10.1155/2016/8435768

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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 $p$ -groups of class 2. The results obtained here are supported by Groups, Algorithm and Programming (GAP).

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Mahmoud Bashir Alhasanat. Bilal Al-Hasanat. Eman Al-Sarairah. "The Order Classes of 2-Generator $p$ -Groups." J. Appl. Math. 2016 1 - 6, 2016. https://doi.org/10.1155/2016/8435768