Computation of Regular Transitive p-Groups of Order p^n for n>1.

Hamidu A. Adamu; Jeltene B. Naphtali; Mohammad S. Audu

doi:10.52589/AJMSS-PFTQ2TML

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Computation of Regular Transitive p-Groups of Order p^n for n>1.

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Publication Date: 2025-03-17

DOI: 10.52589/AJMSS-PFTQ2TML

Volume/Issue: Volume 8, Issue 1 (2025)

Page No: 187 - 197

Journal: African Journal of Mathematics and Statistics Studies

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Abstract:

Regular elementary group of order a power of primes were computed in regard to suitable algorithms underlined. These was achieved in respct to the designated GAP computation. It was observed that such groups had abelian centralizer and non trivial. The prime order of the groups were for p=5 and p=11. Further the ismorphism classes of such groups were determined upto the order.

Keywords:Regular elementary abelian groupstransitive groupsisomorphism classes.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.