Dixon, M.R.; Kurdachenko, L.A.; Javier Otal
(Algebra and Discrete Mathematics, 2010)
A complement to a proper normal subgroup H of a group G is a subgroup K such that G=HK and H∩K=⟨1⟩. Equivalently it is said that G splits over H. In this paper we develop a theory that we call hierarchy of centralizers to ...