The existence of strong complete mappings of finite groups: A survey

被引：11

作者：

Evans, Anthony B. ^{[1
]}

机构：

[1] Wright State Univ, Dayton, OH 45435 USA

来源：

DISCRETE MATHEMATICS | 2013年 / 313卷 / 11期

关键词：

Complete mapping; Orthomorphism; Strong complete mapping; KNUT-VIK DESIGNS; ADMISSIBILITY; NONEXISTENCE;

D O I：

10.1016/j.disc.2011.11.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete mapping of a group G is a bijection theta: G -> G for which the mapping x x theta (x) is a bijection, and a strong complete mapping of a group G is a complete mapping theta of G for which the mapping x x(-1)theta(x) is also a bijection. Complete mappings and strong complete mappings have several combinatorial applications. While the existence problem for complete mappings of finite groups has been settled, very little is known about the existence of strong complete mappings of finite groups. We survey the known existence results for strong complete mappings of finite groups and we suggest directions for further work on this existence problem. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1191 / 1196

页数：6

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