Abstract
Joyce showed that for a classical knot [Formula: see text], the order of the involutory medial quandle is [Formula: see text]. Generalizing Joyce’s result, we show that for a classical link [Formula: see text] of [Formula: see text] components, the order of the involutory medial quandle is [Formula: see text]. In particular, [Formula: see text] is infinite if and only if [Formula: see text]. We also relate [Formula: see text] to several other link invariants.
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