Quandle products of groups form a unified family with quasi-median Cayley graphs, solvable word problems, and iterated semidirect-product decompositions into graph products.
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Beyond graph products and cactus groups: quandle products of groups
Quandle products of groups form a unified family with quasi-median Cayley graphs, solvable word problems, and iterated semidirect-product decompositions into graph products.