Document Zbl 1473.57018 - zbMATH Open
Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs. (English) Zbl 1473.57018
Summary: A multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory. Any linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair. In this paper, we show that any affine extension of a multiple conjugation quandle can be described by using a quadruple of maps, called an augmented MCQ Alexander pair.
MSC:
| 57K10 | Knot theory |
| 57K12 | Generalized knots (virtual knots, welded knots, quandles, etc.) |
| 20N02 | Sets with a single binary operation (groupoids) |
| 57M15 | Relations of low-dimensional topology with graph theory |
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