arXiv subjects

John M. Burns

Publications and source records attributed to John M. Burns.

2 recordsLinked to original sources

arXiv2022

Maximal order Abelian subgroups of Coxeter groups

In this note we give a classification of the Maximal order Abelian subgroups of finite irreducible Coxeter groups. We also prove a Weyl group analogue of Cartan's theorem that all maximal tori in a connected compact Lie group are conjugate.

math.GR↗

arXiv2011

Power sums of Coxeter exponents

Consider an irreducible finite Coxeter system. We show that for any nonnegative integer n the sum of the nth powers of the Coxeter exponents can be written uniformly as a polynomial in four parameters: h (the Coxeter number), r (the rank), and two further parameters.

math.CO↗