6533b856fe1ef96bd12b1c4f

RESEARCH PRODUCT

THE STRUCTURE OF MUTUALLY PERMUTABLE PRODUCTS OF FINITE NILPOTENT GROUPS

Hermann HeinekenJohn CosseyJames C. BeidlemanAdolfo Ballester-bolinches

subject

Discrete mathematicsMathematics::Group TheoryPure mathematicsNilpotentGeneral MathematicsMathematics::Rings and AlgebrasSylow theoremsStructure (category theory)Permutable primeNilpotent groupMathematics::Representation TheoryMathematics

description

We consider mutually permutable products G = AB of two nilpotent groups. The structure of the Sylow p-subgroups of its nilpotent residual is described.

https://doi.org/10.1142/s0218196707004037