Abelianization of p-groups with derived subgroup of prime order
classification
🧮 math.GR
keywords
subgroupabelianizationderivedarrivefrattiniorderp-groupspresentation
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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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