On the diameters of McKay graphs for finite simple groups
File(s)lst7_revised.pdf (354.06 KB)
Accepted version
Author(s)
Liebeck, M
Shalev, A
Tiep, PH
Type
Journal Article
Abstract
Let Gbe a finite group, andαa nontrivial character of G. The McKay graph M(G,α) has the irreducible characters of Gas vertices, with an edge from χ1 to χ2 if χ2 is a constituent of αχ1. We study the diameters of McKay graphs for simple groups G of Lie type. We show that for anyα, the diameter is bounded by a quadratic function of the rank, and obtain much stronger bounds for G= PSLn(q) or PSUn(q)
Date Issued
2021-03-06
Online Publication Date
2022-03-05T00:01:17Z
Date Acceptance
2020-01-06
ISSN
0021-2172
Publisher
Springer Verlag
Start Page
449
End Page
464
Journal / Book Title
Israel Journal of Mathematics
Volume
241
Copyright Statement
© 2021, The Hebrew University of Jerusalem. Published by Springer. The final publication is available at Springer via https://link.springer.com/article/10.1007%2Fs11856-021-2109-1
Identifier
https://link.springer.com/article/10.1007%2Fs11856-021-2109-1
Subjects
Science & Technology
Physical Sciences
Mathematics
0101 Pure Mathematics
0102 Applied Mathematics
General Mathematics
Publication Status
Published
Date Publish Online
2021-03-06