Hall-Paige conjecture

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This article is about a conjecture in the following area in/related to group theory: finite groups. View all conjectures and open problems

Statement

Suppose G is a finite group with the property that every 2-Sylow subgroup of G is either trivial or non-cyclic. Then, there exists a complete map from G to G: a bijection \varphi:G \to G such that the map g \mapsto g\varphi(g) is also a bijection.

Related conjectures

External links