Reduction of the Hall-paige Conjecture to Sporadic Simple Groups
نویسنده
چکیده
A complete mapping of a group G is a permutation φ : G → G such that g 7→ gφ(g) is also a permutation. Hall and Paige proved that a finite group admits a complete mapping only if its Sylow-2 subgroup is trivial or non-cyclic. They conjectured that this condition is also sufficient. We prove that it is sufficient to check the conjecture for the 27 sporadic simple groups.
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تاریخ انتشار 2006