The Order Classes of 2-Generator p -Groups

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

doi:10.1155/2016/8435768

The Order Classes of 2-Generator p -Groups

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

Mathematics

Al-Hussein Bin Talal University

Research output: Contribution to journal › Article › peer-review

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).

Original language	British English
Article number	8435768
Journal	Journal of Applied Mathematics
Volume	2016
DOIs	https://doi.org/10.1155/2016/8435768
State	Published - 2016

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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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AB - 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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The Order Classes of 2-Generator p -Groups

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