This paper reveals properties of quandle products in groups, highlighting their relationships with graph and wreath products.
In this paper, we introduce and initiate the study of quandle products of groups, a family of groups that includes graph products of groups, cactus groups, wreath products, and the recently introduced trickle groups. Our approach is geometric: we show that quandle products admit quasi-median Cayley graphs; and, then, we exploit this geometry to deduce various valuable information about quandle products.
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Anthony Genevois (2025) studied this question.
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