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More precisely, does there exist a sequence G1 < G2 <...$G_1 < G_2 < \cdots$ of finite groups such that the irreducible representations of Gn$G_n$ are parameterized by the plane partitions of total size n$n$?
More precisely, does there exist a sequence G1 < G2 <... of finite groups such that the irreducible representations of Gn are parameterized by the plane partitions of total size n?
More precisely, does there exist a sequence $G_1 < G_2 < \cdots$ of finite groups such that the irreducible representations of $G_n$ are parameterized by the plane partitions of total size $n$?
Does there exist a sequence of groups whose representation theory is described by plane partitions?
More precisely, does there exist a sequence G1 < G2 < ... of finite groups such that the irreducible representations of Gn are parameterized by the plane partitions of total size n?