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arXiv · 1707.09746

Finite $p$-groups of conjugate type $\{ 1, p^3 \}$

Tushar Kanta Naik·Manoj K. Yadav
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Abstract

We classify finite $p$-groups, upto isoclinism, which have only two conjugacy class sizes $1$ and $p^3$. It turns out that the nilpotency class of such groups is $2$.

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Tushar Kanta Naik, Manoj K. Yadav. 2017-07-31. Finite $p$-groups of conjugate type $\{ 1, p^3 \}$. https://arxiv.org/abs/1707.09746

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