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12.77 (1992)

Solved

(Well-known problem). Does the order (if it is greater than $p^2$) of a finite non-cyclic $p$-group divide the order of its automorphism group?

Contributor: A. I. Starostin

Progress

No, not always (J. González-Sánchez, A. Jaikin-Zapirain, Forum Math. Sigma, 3, Article ID e7, 11 p., electronic only (2015)).

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