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{title2=$A_H^G$}

Let a finite group $G$ act on an algebra $A$ by conjugation and let $H\leq G$. The transfer ideal from $H$ is
$$
A_H^G=\operatorname{Tr}_H^G(A^H)\subseteq A^G,
\qquad
\operatorname{Tr}_H^G(a)=\sum_{g\in G/H}gag^{-1}.
$$
The notation records both the source subgroup and the ambient fixed-point algebra.


Transfer ideal of conjugation-fixed elements

Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 138 / 6 / b / ii / Solution

Transfer ideal of conjugation-fixed elements ( $A_{H}^{G}$ )

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Transfer ideal of conjugation-fixed elements (AHG​)

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