@article {
author = {Krempa, Jan and Stocka, Agnieszka},
title = {On some invariants of finite groups},
journal = {International Journal of Group Theory},
volume = {2},
number = {1},
pages = {109-115},
year = {2013},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2013.2642},
abstract = {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.},
keywords = {generating set, independent set, (p,q)-group, lattice of subgroups},
url = {https://ijgt.ui.ac.ir/article_2642.html},
eprint = {https://ijgt.ui.ac.ir/article_2642_9f742c032856a8f0dcd5a8b7de56b25b.pdf}
}