AbstractLet N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G/N′ are nilpotent. We are looking for group classes C and characteristic subgroups f(N) of N such that the statement above, with (belongs to C, f(N)) substituted for (is nilpotent, N′), remains true
AbstractIn view of its importance for the study of idempotents in group rings, a certain class C of ...
AbstractWe prove that a periodic residually nilpotent group G all of whose closed subgroups are subn...
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
AbstractLet N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G...
AbstractR. Baer and Wielandt in 1934 and 1958, respectively, considered the intersection of the norm...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
Let 1-- • N-- • X-- • G • 1 be an extension of groups with N and G nilpotent. It is well known it is...
AbstractIf G is a linear Noetherian group, then (a) Φ(G), the Frattini subgroup of G is nilpotent; (...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if i...
AbstractIn this present paper, the author, on the basis of Su's article (Math. Mag. 8 (1988), 7–9), ...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
Abstract. In J. Korean Math. Soc, Zhang, Xu and other authors inves-tigated the following problem: w...
Abstract. In this note alternate proofs of some basic results of nite group theory are presented. Th...
[EN] If G is a finite group and N is a normal subgroup of G with two C-conjugacy class sizes of elem...
AbstractIn view of its importance for the study of idempotents in group rings, a certain class C of ...
AbstractWe prove that a periodic residually nilpotent group G all of whose closed subgroups are subn...
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
AbstractLet N be a normal subgroup of the group G. By a result of P. Hall, G is nilpotent if N and G...
AbstractR. Baer and Wielandt in 1934 and 1958, respectively, considered the intersection of the norm...
AbstractThe main result established here is that if G is a locally finite group that has all subgrou...
Let 1-- • N-- • X-- • G • 1 be an extension of groups with N and G nilpotent. It is well known it is...
AbstractIf G is a linear Noetherian group, then (a) Φ(G), the Frattini subgroup of G is nilpotent; (...
AbstractWe explore the class B of generalized nilpotent groups in the universe c[formula] of all rad...
Let G be a group with all subgroups subnormal. A normal subgroup N of G is said to be G-minimax if i...
AbstractIn this present paper, the author, on the basis of Su's article (Math. Mag. 8 (1988), 7–9), ...
AbstractIf a finite group G is the product of two nilpotent subgroups A and B and if N is a minimal ...
Abstract. In J. Korean Math. Soc, Zhang, Xu and other authors inves-tigated the following problem: w...
Abstract. In this note alternate proofs of some basic results of nite group theory are presented. Th...
[EN] If G is a finite group and N is a normal subgroup of G with two C-conjugacy class sizes of elem...
AbstractIn view of its importance for the study of idempotents in group rings, a certain class C of ...
AbstractWe prove that a periodic residually nilpotent group G all of whose closed subgroups are subn...
AbstractGiven a finite group G, we define the subgroup D(G) to be the intersection of the normalizer...
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