Let $G$ be a finite group. Which functions $f:G \to \mathbf{C}$ obey the equation $$ \sum_{g \in C_1,h \in C_2} f(gh) = \left(\sum_{g \in C_1} f(g) \right)\left(\sum_{h \in C_2} f(h)\right) $$ for all conjugacy classes $C_1,C_2 \subset G$? Can you determine all such functions from the character table of $G$?
2026-04-06 05:56:57.1775455017
Sort-of-multiplicative functions on the group algebra
41 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in FINITE-GROUPS
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