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arXiv · 0910.5848

Abelianization of p-groups with derived subgroup of prime order

Guhan Venkat
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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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Guhan Venkat. 2009-10-30. Abelianization of p-groups with derived subgroup of prime order. https://arxiv.org/abs/0910.5848

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