The Fubini Theorem for Normal Lie Subgroups of Index $2n$

Leandro Nery de Oliveira, Marcos Aurélio de Alcântara

Let ${\Gamma }_{+}$ be a normal subgroup of index $2n$ of a group $\Gamma$ and ${\gamma }_i\in \Gamma \setminus {\Gamma }_{+}$ be involutions. We first prove that if $Γ= Γ_+ \rtimes (\mathbb{Z}_2(γ_1) \times \cdots \ti…