Zhou, MengmengChen, JianlongThome, Néstor2024-11-262024-11-2620230354-5180https://riunet.upv.es/handle/10251/212329[EN] In this paper, we prove that a complex square matrix is weak group matrix if the m-th power of this matrix commutes with its weak group inverse, where m is an arbitrary positive integer. Firstly, some new characterizations of weak group matrices are investigated by means of core-EP decomposition. Secondly, we study new equivalent conditions of the weak group matrix by using commutator and rank equalities. Finally, the relationships between {m, k} -core EP matrices, k-EP matrices and weak group matrices are given.Reserva de todos los derechosWeak group inverseWeak group matrix{m, k}-core EP matrixMATEMATICA APLICADAArtículo10.2298/FIL2302457ZAbierto