Finite p-groups of conjugate type \{ 1, p³ \}
classification
🧮 math.GR
keywords
groupsclassfiniteclassifyconjugacyconjugateisoclinismnilpotency
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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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