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Generalization of the basis property on finite groups
Journal article   Peer reviewed

Generalization of the basis property on finite groups

Ibrahim Al-Dayel and Ahmad Al Khalaf
Asian-European journal of mathematics, Vol.14(7), p.2150111
07/2021
DOI: https://doi.org/10.1142/S1793557121501114

Abstract

Mathematics Physical Sciences Science & Technology
A group G has the Basis Property if every subgroup H of G has an equivalent basis (minimal generating set). We studied a special case of the finite group with the Basis Property, when p-group P is an abelian group. We found the necessary and sufficient conditions on an abelian p-group P of G with the Basis Property to be kernel of Frobenius group.

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