TY - JOUR
T1 - Mutually permutable products and conjugacy classes
AU - Ballester-Bolinches, A.
AU - Cossey, John
AU - Li, Yangming
PY - 2013/6
Y1 - 2013/6
N2 - The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a finite group G influence the group structure has been studied by several authors with many results available. The purpose of this paper is to analyse the restrictions imposed by the lengths of the conjugacy classes of some elements of the factors of a finite group G = G1G2 ... Gr, which is the product of the pairwise mutually permutable subgroups G1, G2, ..., Gr, on its structure. Some earlier results appear as corollaries of our main theorems.
AB - The question of how certain arithmetical conditions on the lengths of the conjugacy classes of a finite group G influence the group structure has been studied by several authors with many results available. The purpose of this paper is to analyse the restrictions imposed by the lengths of the conjugacy classes of some elements of the factors of a finite group G = G1G2 ... Gr, which is the product of the pairwise mutually permutable subgroups G1, G2, ..., Gr, on its structure. Some earlier results appear as corollaries of our main theorems.
KW - Conjugacy classes
KW - Finite groups
KW - Mutually permutable products
UR - http://www.scopus.com/inward/record.url?scp=84878112631&partnerID=8YFLogxK
U2 - 10.1007/s00605-012-0411-z
DO - 10.1007/s00605-012-0411-z
M3 - Article
SN - 0026-9255
VL - 170
SP - 305
EP - 310
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 3-4
ER -