On some permutable products of supersoluble groups

Alejandre, Manuel; Ballester-Bolinches, Adolfo; Cossey, Peter (John); Pedraza-Aguilera, M C

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On some permutable products of supersoluble groups

Date

2004

Authors

Alejandre, Manuel

Ballester-Bolinches, Adolfo

Cossey, Peter (John)

Pedraza-Aguilera, M C

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.

Keywords

Keywords: Finite groups; Products; Subnormality; Supersolubility

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http://hdl.handle.net/1885/86987

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ANU Research Publications

Source

Revista Matematica Iberoamericana

Type

Journal article

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Cultural advice

On some permutable products of supersoluble groups

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