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

Publication Date: 17/03/2025

DOI: 10.52589/AJMSS-PFTQ2TML

Author(s): Hamidu A. Adamu, Jeltene B. Naphtali, Mohammad S. Audu.
Volume/Issue: Volume 8, Issue 1 (2025)
Page No: 187-197
Journal: African Journal of Mathematics and Statistics Studies (AJMSS)

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 groups, transitive groups, isomorphism classes.

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