It is proved that if GG is a strongly locally graded group of infinite rank whose proper
subgroups of infinite rank are (locally finite)-by-nilpotent, then GG itself is (locally finite)-by …

A group G is said to be a PC-group, if G/CG (xG) is a polycyclic-by-finite group for all x∈ G. A
minimal non-PC-group is a group which is not a PC-group but all of whose proper …

In this note we extend some results obtained by Xu on soluble minimal non-Baer-groups to
locally graded minimal non-Baer-groups. In particular, we prove that if G is an infinite locally …

Let X be a class of groups. A group G is called a minimal non-X-group if it is not an X-group
but all of whose proper subgroups are X-groups. In 16, Xu proved that if G is a soluble …

L'objet de cette thèse concerne l'étude des groupes minimaux non-Ω, où Ω est une classe
de groupes donnée, c'est-à-dire l'étude des groupes n'appartenant pas à Ω mais dont tous …

Let X be a class of groups. A group which does not belong to X but all of whose proper
quotients belong to X is called Just-Non-X group. A group which does not belong to X but all …

MF Newman et J. Wiegold ont démontrer qu'un groupe infini G non-nilpotent minimal de
type fini est parfait, n'admet pas de sous-groupe propre d'indice fini et G/Frat (G) est simple …

On minimal non-((periodic radicable abelian)-by-hypercenal) groups Page 185 181 On
minimal non-((periodic radicable abelian)-by-hypercenal) groups Badis Abdelhafid …

A Survey on Just‐Non‐𝔛 Groups - Otera - 2010 - International Journal of Mathematics and
Mathematical Sciences - Wiley Online Library Skip to Article Content Skip to Article Information …

A group G is said to be a PC-group, if G/CG (xG) is a polycyclic-by-finite group for all x∈ G. A
minimal non-PC-group is a group which is not a PC-group but all of whose proper …