2019/05/07 by Murao, Tomo
#57M15 #FOS: Mathematics #Geometric Topology (math.GT) #Primary 57M27 #Secondary 57M25
paper · doi:10.48550/arxiv.1905.02519
A quandle is an algebra whose axioms are motivated from knot theory. A linear extension of a quandle can be described by using a pair of maps called an Alexander pair. In this paper, we show that a linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair, where a multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory.