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For questions about the algebraic concept of 'character': a function from a group into a field satisfying certain properties. Not to be confused with the more commonly known psychological term.

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Finite, abelian, yet "fugitive" orthogonal subgroups

abelian group, the orthogonal subgroup $H^{\perp}$ of $H$ a subgroup of $G$ is defined as: $$H^\perp:=\lbrace g\in H : \chi_g(h)=1 \quad\text{for all } h \in H\rbrace,$$ where $\chi_g$ are the characters
Juan Bermejo Vega's user avatar