TY - JOUR
AU - Leshchenko, Yu.Yu.
AU - Zoria, L.V.
PY - 2013/06/20
Y2 - 2024/07/19
TI - On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 5
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.5.1.70-78
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/3653
SP - 70-78
AB - <p>The commuting graph of a group $G$ is an undirected graph whose vertices are non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if and only if $xy=yx$. This article deals with the properties of the commuting graphs of Sylow $p$-subgroups of the symmetric groups. We define conditions of connectedness of respective graphs and give estimations of the diameters if graph is connected.</p>
ER -