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- Title
CAYLEY LINE GRAPHS OF TRANSITIVE GROUPOIDS.
- Authors
SIEBEN, NÁNDOR
- Abstract
A groupoid is a small category with inverses. Adding appropriate colors to the edges of the line graph of a transitive groupoid creates a Cayley line graph of the groupoid. The groupoid of partial automorphisms of the Cayley line graph is isomorphic to a semidirect product of the original groupoid. Using the trivial coloring to build the Cayley line graph makes the semidirect product trivial, hence the groupoid of partial automorphisms of this Cayley line graph is isomorphic to the original groupoid.
- Subjects
AUTOMORPHISM groups; GROUPOIDS; ISOMORPHISM (Mathematics); GROUP theory; AUTOMORPHISMS
- Publication
Miskolc Mathematical Notes, 2023, Vol 24, Issue 1, p447
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2023.1651