Abstract
In 2006, Nelson and Wong introduced that every finite quandle can be decomposed into a disjoint union of some quandles and for given n quandles satisfying certain conditions, there is a quandle which is a disjoint union of the n quandles. In 2008, Ehrman, Gurpinar, Thibault and Yetter also introduced similar results about the decomposition of quandles. In this paper, we observe an operation table Q which consists of four sub-operation tables, where diagonal tables are quandle operations. We study which conditions make Q a quandle operation table.
Original language | English |
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Article number | 1940011 |
Journal | Journal of Knot Theory and its Ramifications |
Volume | 28 |
Issue number | 13 |
DOIs | |
State | Published - 1 Nov 2019 |
Keywords
- connected
- orbit
- Quandle
- quandle inner automorphism group
- rack