On some permutable products of supersoluble groups
Date
2004
Authors
Alejandre, Manuel
Ballester-Bolinches, Adolfo
Cossey, Peter (John)
Pedraza-Aguilera, M C
Journal Title
Journal ISSN
Volume Title
Publisher
Universidad Autonoma de Madrid
Abstract
It is well known that a group G = AB which is the product of two supersoluble subgroups A and B is not supersoluble in general. Under suitable permutability conditions on A and B, we show that for any minimal normal subgroup N both AN and BN are supersoluble. We then exploit this to establish some sufficient conditions for G to be supersoluble.
Description
Keywords
Keywords: Finite groups; Products; Subnormality; Supersolubility
Citation
Collections
Source
Revista Matematica Iberoamericana
Type
Journal article