%0 Journal Article
%T On some invariants of finite groups
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Krempa, Jan
%A Stocka, Agnieszka
%D 2013
%\ 03/01/2013
%V 2
%N 1
%P 109-115
%! On some invariants of finite groups
%K generating set, independent set, (p
%K q)-group, lattice of subgroups
%R 10.22108/ijgt.2013.2642
%X A normal subgroup $N$ of a group $G$ is said to be an omissible subgroup of $G$ if it has the following property: whenever $X\leq G$ is such that $G=XN$, then $G=X$. In this note we construct various groups $G$, each of which has an omissible subgroup $N\neq 1$ such that $G/N\cong SL_2(k)$ where $k$ is a field of positive characteristic.
%U https://ijgt.ui.ac.ir/article_2642_9f742c032856a8f0dcd5a8b7de56b25b.pdf