On minimal involutive generic sets of Extended Special Linear group $ESL_n(\mathbb{F}_p)$

Abstract

The size of minimal systems of generators and these systems themselves for groups $ESL_n \left[ \mathbb{Z} \right]$ and $ESL_n \left( \mathbb{F}_p \right)$ were found. Moreover we obtain triples of involutions with\textit{\textbf{ two commuting involu\-tions}} generating $ESL_5 \left[ \mathbb{Z} \right]$, $ESL_5 \left[ \mathbb{Z} \right]$ relatively, that are Mazurov triples.