Ballester Bolinches, Adolfo; Cossey, John; Esteban Romero, Ramón(Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine, 2009)
[EN] There are different ways to associate to a group a
certain graph. In this context, it is interesting to ask for the relations
between the structure of the group, given in group-theoretical
terms, and the structure ...
[EN] In [J. C. Beidleman, D. J. S. Robinson, J. Algebra 1997, 191, 686--703, Theorem A], Beidleman and Robinson proved that if a group satisfies the permutizer condition, it is soluble, its chief factors have order a prime ...
Ballester Bolinches, Adolfo; Esteban Romero, Ramón(Cambridge University Press, 2003-10)
[EN] Characterisations of finite groups in which normality is a transitive relation are presented
in the paper. We also characterise the finite groups in which every subgroup is either
permutable or coincides with its ...
[EN] The behaviour of totally permutable products of finite groups with respect to certain classes of groups is studied in the paper. The results are applied to obtain information about totally permutable products of T, ...