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14.77 (1999)

Solved

Let $p$ be a prime number and $X$ a finite set of powers of $p$ containing 1. Is it true that $X$ is the set of all lengths of the conjugacy classes of some finite $p$-group?

Contributor: J. Sangroniz

Progress

Yes, it is (J. Cossey, T. Hawkes, Proc. Amer. Math. Soc., 128, no. 1 (2000), 49–51).

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