Iranzo Aznar, M; Martínez Pastor, Ana; Pérez Monasor, F.(Elsevier, 1995-11-10)
[EN] Given a Fitting class F and an F-group S we find a subgroup W(S) of S, Z(S) less than or equal to W(S), which is normal in every group H containing S as an F-injector, provided that H verifies certain conditions.
Alemany Martínez, Elena; Beltran, Antonio; Felipe Román, María José(American Mathematical Society, 2011)
[EN] Let G be a finite group. If N is a normal subgroup which has exactly two G-conjugacy class sizes, then N is nilpotent. In particular, we show that N is abelian or is the product of a p-group P by a central subgroup ...
[EN] Two subgroups H and K of a finite group G are said to be
N -connected if the subgroup generated by x and y is a nilpotent group,
for every pair of elements x in H and y in K. This paper is devoted to
the study of ...