Characterization by intersection graph of some families of finite nonsimple groups

Shahsavari, Hossein, and Khosravi, Behrooz. "Characterization by intersection graph of some families of finite nonsimple groups." Czechoslovak Mathematical Journal (2021): 191-209. <http://eudml.org/doc/296957>.

@article{Shahsavari2021,
abstract = {For a finite group $G$, $\Gamma (G)$, the intersection graph of $G$, is a simple graph whose vertices are all nontrivial proper subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent when $H\cap K\ne 1$. In this paper, we classify all finite nonsimple groups whose intersection graphs have a leaf and also we discuss the characterizability of them using their intersection graphs.},
author = {Shahsavari, Hossein, Khosravi, Behrooz},
journal = {Czechoslovak Mathematical Journal},
keywords = {intersection graph; leaf; nonsimple group; characterization},
language = {eng},
number = {1},
pages = {191-209},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Characterization by intersection graph of some families of finite nonsimple groups},
url = {http://eudml.org/doc/296957},
year = {2021},
}

TY - JOUR
AU - Shahsavari, Hossein
AU - Khosravi, Behrooz
TI - Characterization by intersection graph of some families of finite nonsimple groups
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 191
EP - 209
AB - For a finite group $G$, $\Gamma (G)$, the intersection graph of $G$, is a simple graph whose vertices are all nontrivial proper subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent when $H\cap K\ne 1$. In this paper, we classify all finite nonsimple groups whose intersection graphs have a leaf and also we discuss the characterizability of them using their intersection graphs.
LA - eng
KW - intersection graph; leaf; nonsimple group; characterization
UR - http://eudml.org/doc/296957
ER -