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

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.

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Publication Details

Journal
African Journal of Mathematics and Statistics Studies
Published
2025-03-17
DOI
https://doi.org/10.52589/ajmss-pftq2tml
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

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

M. S. Audu, Hamidu A. Adamu, Jeltene B. Naphtali
African Journal of Mathematics and Statistics Studies
Finite Group Theory Research
article

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

M. S. Audu, Hamidu A. Adamu, Jeltene B. Naphtali
article en

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.

African Journal of Mathematics and Statistics StudiesVol. 8(1)
Openalex Percentile: Top 92%
Finite Group Theory Research
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Computation of Regular Transitive p-Groups of Order p^n for n>1 — M. S. Audu, Hamidu A. Adamu, et al. · African Journal of Mathematics and Statistics Studies (2025) | TGRS Research Map | TGRS