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David Jefferies

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Review Aug 2026

The number of groups of cubefree order

Generalising H\"older's classical group enumeration for squarefree orders (1895), we provide an exact formula for the number of isomorphism types of groups of a given cubefree order. After more than 130 years, this is the first such formula that covers significantly more orders than the squarefree ones (83% versus 61%...

Heiko Dietrich, David Jefferies · 0 citations

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