# Conjecture that the automorphism group of a non-cyclic group of prime power order is always bigger

From Groupprops

*This article describes an open problem in the following area of/related to group theory*: p-groups

## Statement

Let be a prime and be a non-cyclic -group; in other words, is a group of prime power order. The conjecture states that the order of the automorphism group is at least equal to the order of .

## References

- Paper:Davitt80
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