A Note On Varieties of Groupoids Arising From M-Cycle Systems

Bryant, DE (1995) A Note On Varieties of Groupoids Arising From M-Cycle Systems. Journal of Algebraic Combinatorics, 4 3: 197-200. doi:10.1023/A:1022423910787


Author Bryant, DE
Title A Note On Varieties of Groupoids Arising From M-Cycle Systems
Journal name Journal of Algebraic Combinatorics   Check publisher's open access policy
ISSN 0925-9899
Publication date 1995-07-01
Year available 1995
Sub-type Article (original research)
DOI 10.1023/A:1022423910787
Open Access Status Not yet assessed
Volume 4
Issue 3
Start page 197
End page 200
Total pages 4
Place of publication DORDRECHT
Publisher KLUWER ACADEMIC PUBL
Language eng
Abstract Decompositions of the complete graph with n vertices K-n into edge disjoint cycles of length m whose union is K-n are commonly called m-cycle systems. Any m-cycle system gives rise to a groupoid defined on the vertex set of K-n via a well known construction. Here, it is shown that the groupoids arising from all m-cycle systems are precisely the finite members of a variety (of groupoids) for m = 3 and 5 only.
Keyword M-Cycle System
Variety
Equationally Defined
Groupoid
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: ResearcherID Downloads - Archived
 
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Created: Sat, 18 May 2013, 04:18:48 EST by System User