Add to ORKGA critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also called Schmidt groups) is given, together with a complete proof of Gol¿fand¿s theorem on maximal Schmidt groups
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractAn extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sy...
AbstractIn Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G w...
A critical group for a class of groups X is a minimal non-X-group. The critical groups are determine...
Abstract. A critical group for a class of groups X is a minimal non-X-group. The critical groups are...
The aim of this paper is to classify the finite minimal non-p-supersoluble groups, p a prime number,...
In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group ...
AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup o...
In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity ...
AbstractIf H is a subgroup of a finite group G, by HG denote the normal closure of H in G. G is call...
We characterize the groups which do not have non-trivial perfect sections and such that any strictly...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally...
An extension of the well-known Frobenius¿ criterion of p-nilpotence in groups with modular Sylow p-s...
A group G is said to be a minimal non-X group G if G is not an X-group but all its proper subgroups ...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractAn extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sy...
AbstractIn Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G w...
A critical group for a class of groups X is a minimal non-X-group. The critical groups are determine...
Abstract. A critical group for a class of groups X is a minimal non-X-group. The critical groups are...
The aim of this paper is to classify the finite minimal non-p-supersoluble groups, p a prime number,...
In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group ...
AbstractIn this paper, it is proved that a finite group G is p-nilpotent if every minimal subgroup o...
In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity ...
AbstractIf H is a subgroup of a finite group G, by HG denote the normal closure of H in G. G is call...
We characterize the groups which do not have non-trivial perfect sections and such that any strictly...
Our first main result proves that every element of order 4 of a Sylow 2-subgroup S of a minimal non-...
AbstractThe Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally...
An extension of the well-known Frobenius¿ criterion of p-nilpotence in groups with modular Sylow p-s...
A group G is said to be a minimal non-X group G if G is not an X-group but all its proper subgroups ...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
AbstractAn extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sy...
AbstractIn Theorem 2.1 we characterize finite p-groups G such that each nonabelian subgroup H of G w...