summary:We show that any finite 2-group, whose abelianization has either 4-rank at most 2 or 8-rank 0 and whose commutator subgroup is generated by two elements, is metabelian. We also prove that the minimal order of any 2-group with nonabelian commutator subgroup of 2-rank 2 is $2^{12}$
Abstract. We describe rst the structure of nite minimal nonmod-ular 2-groups G. We show that in case...
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabeli...
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class gr...
Let P be a group theoretical property. There are many results in literature concerning groups in whi...
AbstractIn Theorem 2.3 we determine finite 2-groups all of whose minimal nonabelian subgroups are of...
Abstract. It is a known fact that the subgroup 2(G) generated by all elements of order at most 4 in ...
AbstractWe classify here the title groups and note that such groups must be of exponent >4 if both D...
By an Alperin group we mean a group in which the commutant of each 2-generated subgroup is cyclic. A...
Abstract. We shall determine the title groups G up to isomorphism. This solves the problem Nr.861 fo...
AbstractLet G be some metabelian 2-group satisfying the condition G/G′≃ℤ/2ℤ×ℤ/2ℤ×ℤ/2ℤ. In this paper...
A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Fini...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
It is a known fact that the subgroup (G) generated by all elements of order at most 4 in a finite 2-...
Abstract. We determine here the structure of the title groups. It turns out that such a group G is e...
Abstract. We describe rst the structure of nite minimal nonmod-ular 2-groups G. We show that in case...
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabeli...
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class gr...
Let P be a group theoretical property. There are many results in literature concerning groups in whi...
AbstractIn Theorem 2.3 we determine finite 2-groups all of whose minimal nonabelian subgroups are of...
Abstract. It is a known fact that the subgroup 2(G) generated by all elements of order at most 4 in ...
AbstractWe classify here the title groups and note that such groups must be of exponent >4 if both D...
By an Alperin group we mean a group in which the commutant of each 2-generated subgroup is cyclic. A...
Abstract. We shall determine the title groups G up to isomorphism. This solves the problem Nr.861 fo...
AbstractLet G be some metabelian 2-group satisfying the condition G/G′≃ℤ/2ℤ×ℤ/2ℤ×ℤ/2ℤ. In this paper...
A group G is metacyclic if it contains a cyclic normal subgroup K such that G/K is also cyclic. Fini...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
In this paper, G denotes a non-abelian metabelian group and cl(x) denotes conjugacy class of the ele...
It is a known fact that the subgroup (G) generated by all elements of order at most 4 in a finite 2-...
Abstract. We determine here the structure of the title groups. It turns out that such a group G is e...
Abstract. We describe rst the structure of nite minimal nonmod-ular 2-groups G. We show that in case...
A metabelian group is a group whose commutator subgroup is abelian. Similarly, a group G is metabeli...
In this work, a non-abelian metabelian group is represented by G while represents conjugacy class gr...
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