6533b7defe1ef96bd127654f

RESEARCH PRODUCT

Injectors and Radicals in Products of Totally Permutable Groups

Peter HauckMaría Dolores Pérez-ramosA. Martínez-pastor

subject

CombinatoricsDiscrete mathematicsMathematics::Group TheoryMathematics::CombinatoricsAlgebra and Number TheoryGroup (mathematics)Product (mathematics)Permutable primeMathematics

description

Abstract Two subgroups H and K of a group G are said to be totally permutable if every subgroup of H permutes with every subgroup of K. In this paper the behaviour of radicals and injectors associated to Fitting classes in a product of pairwise totally permutable finite groups is studied.

https://doi.org/10.1081/agb-120024871