TY - JOUR
T1 - Commuting Involution Graphs for 4-Dimensional Projective Symplectic Groups
AU - Everett, Alistaire
AU - Rowley, Peter
PY - 2020/6/4
Y1 - 2020/6/4
N2 - For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x,y∈X joined by an edge if x≠y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 4-dimensional projective symplectic group over a finite field and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.
AB - For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x,y∈X joined by an edge if x≠y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 4-dimensional projective symplectic group over a finite field and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.
U2 - 10.1007/s00373-020-02156-x
DO - 10.1007/s00373-020-02156-x
M3 - Article
SN - 0911-0119
VL - 36
SP - 959
EP - 1000
JO - Graphs and Combinatorics
JF - Graphs and Combinatorics
IS - 4
ER -