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We prove a new case of Rubin's saturation conjecture about the realization of$G$-transfer systems, for $G$ a finite cyclic group, by linear isometries$N_\infty$-operads, namely the case of cyclic groups of order $p^nq^m$ for$p,q$ distinct primes and $n,m\in \mathbb{N}$.

Realization of saturated transfer systems on cyclic groups of order $p^nq^m$ by linear isometries $N_\infty$-operads