# Paige, Lowell J.

## Hall-Paige conjecture โ โ โ

A *complete map* for a (multiplicative) group is a bijection so that the map is also a bijection.

**Conjecture**If is a finite group and the Sylow 2-subgroups of are either trivial or non-cyclic, then has a complete map.

Keywords: complete map; finite group; latin square