 Inertial quotient of a block (source code)

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= Inertial quotient of a block
{title2=$E(B)=N_G(D,b_D)/(DC_G(D))$}

For a maximal <Brauer pair> $(D,b_D)$ of a <block of a group algebra>, the inertial quotient is the displayed quotient of its pair stabilizer by $DC_G(D)$. It has order coprime to $p$, and its order is the <inertial index of a block>. For abelian $D$, conjugation embeds it in $\operatorname{Aut}(D)$.

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