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

VL - 36

SP - 959

EP - 1000

JO - Graphs and Combinatorics

JF - Graphs and Combinatorics

SN - 0911-0119

IS - 4

ER -