| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4647737 | Discrete Mathematics | 2013 | 6 Pages |
Abstract
A complete mapping of a group G is a bijection θ:GâG for which the mapping xâ¦xθ(x) is a bijection, and a strong complete mapping of a group G is a complete mapping θ of G for which the mapping xâ¦xâ1θ(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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Anthony B. Evans,