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Two subgroups $H_1$ and $H_2$ of a finite group $G$ are Gassmann equivalent if, for every conjugacy class $C$ of $G$, the sets $C \cap H_1$ and $C \cap H_2$ have the same size. An ordering of the conjugacy classes of $G$ then induces an ordering of the Gassmann equivalence classes of subgroups of $G$, just by lexicographically ordering the vectors of intersection counts.

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  • Review status: reviewed
  • Last edited by John Jones on 2022-07-20 12:29:42
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