The existence of strong complete mappings

被引：0
|
作者：
Evans, Anthony B. [1 ]
机构：
[1] Wright State Univ, Dept Math & Stat, Dayton, OH 45435 USA
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2012年 / 19卷 / 01期
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A strong complete mapping of a group G is a bijection theta: G -> G for which both mappings x -> x theta(x) and x -> x(-1)theta(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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页数：10
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