Abelianization of p-groups with derived subgroup of prime order

Details Abelianization of p-groups with derived subgroup of prime order Abelianization of p-groups with derived subgroup of prime order

2009-10-30

arxiv.org/abs/0910.5848v3

Mathematics

Group Theory

Scientific paper

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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