TY - JOUR
T1 - Subgroup majorization
AU - Francis, Andrew R.
AU - Wynn, Henry P.
PY - 2014
Y1 - 2014
N2 - The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to as G-majorization. There are strong results in the case that G is a reflection group and this paper builds on this theory in the direction of subgroups, normal subgroups, quotient groups and extensions. The implications for fundamental cones and order-preserving functions are studied. The main example considered is the hyperoctahedral group, which, acting on a vector in Rn, permutes and changes the signs of components.
AB - The extension of majorization (also called the rearrangement ordering), to more general groups than the symmetric (permutation) group, is referred to as G-majorization. There are strong results in the case that G is a reflection group and this paper builds on this theory in the direction of subgroups, normal subgroups, quotient groups and extensions. The implications for fundamental cones and order-preserving functions are studied. The main example considered is the hyperoctahedral group, which, acting on a vector in Rn, permutes and changes the signs of components.
UR - http://handle.uws.edu.au:8081/1959.7/537319
U2 - 10.1016/j.laa.2013.11.042
DO - 10.1016/j.laa.2013.11.042
M3 - Article
SN - 0024-3795
VL - 444
SP - 53
EP - 66
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
ER -