Abelianization of p-groups with derived subgroup of prime order

2009/10/30 by Guhan Venkat, Venkat, Guhan
Mathematics · #20E34 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.0910.5848

openalex publication_date 2009/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we arrive at the structure for G^ab(= G/G') from a presentation for G. We also prove that the frattini subgroup of the abelianization is G^p or the quotient of G^p by the derived subgroup G'.

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