The Existence of Strong Complete Mappings
نویسنده
چکیده
A strong complete mapping of a group G is a bijection θ : G → G for which both mappings x 7→ xθ(x) and x 7→ x−1θ(x) are bijections. We characterize finite abelian groups that admit strong complete mappings, thus solving a problem posed by Horton in 1990. We also prove the existence of strong complete mappings for countably infinite groups.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 19 شماره
صفحات -
تاریخ انتشار 2012