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The Order of Automorphisms of Quasigroups.
- Source :
-
Journal of Combinatorial Designs . Jul2015, Vol. 23 Issue 7, p275-288. 14p. - Publication Year :
- 2015
-
Abstract
- We prove quadratic upper bounds on the order of any autotopism of a quasigroup or Latin square, and hence also on the order of any automorphism of a Steiner triple system or 1-factorization of a complete graph. A corollary is that a permutation σ chosen uniformly at random from the symmetric group [ABSTRACT FROM AUTHOR]
- Subjects :
- *FACTORIZATION
*MAGIC squares
*AUTOMORPHISMS
*STEINER systems
*PERMUTATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 10638539
- Volume :
- 23
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Combinatorial Designs
- Publication Type :
- Academic Journal
- Accession number :
- 103386076
- Full Text :
- https://doi.org/10.1002/jcd.21389