ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F9345 on D1563: Group centre
F9345
Formulation 1
Let $G$ be a D22: Group such that
(i) $H$ is a D496: Subgroup of $G$
The centre in $G$ modulo $H$ is the D11: Set \begin{equation} Z(H) : = \{ h \in H \mid \forall \, g \in G : h g h^{-1} = g \} \end{equation}