| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4650152 | Discrete Mathematics | 2009 | 13 Pages |
Abstract
We determine necessary and sufficient conditions for the existence of a quasigroup of order nn having an automorphism consisting of a single cycle of length mm and n−mn−m fixed points, and having any combination of the additional properties of being idempotent, unipotent, commutative, semi-symmetric or totally symmetric. Quasigroups with such additional properties and symmetries are equivalent to various classes of triple systems.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Darryn Bryant, Melinda Buchanan, Ian M. Wanless,