Strong -groups
Strong reflexivity of Abelian groups
A reflexive topological group is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.
Subgroup criteria for an abelian group.
Subgroups of the Baer–Specker group with few endomorphisms but large dual
Assuming the continuum hypothesis, we construct a pure subgroup G of the Baer-Specker group with the following properties. Every endomorphism of G differs from a scalar multiplication by an endomorphism of finite rank. Yet G has uncountably many homomorphisms to ℤ.
Subgroups of the basic subgroup in a modular group ring
Subquadratic growth of the averaged Dehn function for free Abelian groups.
Subsemigroups of Finitely Generated Groups with Divisor-Theory.
Subsemigroups of the finite complexes of a group.
Subsums of a zero-sum free subset of an abelian group.
Sul completamento di un gruppo abeliano nella topologia dei sottogruppi di indice finito
Sur la limite du degré des groupes primitifs qui contiennent une substitution donnée.
Sur les groupes quasi-purs-projectifs sans torsion
Sylow P-Subgroups of Abelian Group Rings
2000 Mathematics Subject Classification: Primary 20C07, 20K10, 20K20, 20K21; Secondary 16U60, 16S34.Let PG be the abelian modular group ring of the abelian group G over the abelian ring P with 1 and prime char P = p. In the present article,the p-primary components Up(PG) and S(PG) of the groups of units U(PG) and V(PG) are classified for some major classes of abelian groups. Suppose K is a first kind field with respect to p in char K ≠ p and A is an abelian p-group. In the present work, the p-primary...
Tensor product and quasi-splitting of Abelian groups
The Balance of Tor.
The Burnside Ring of a Cyclic Extension of a Torus.
The -topology is not completable
The -topology on abelian -groups
The Cayley graphs of and the limits of vertex-primitive graphs of -type.
The conjugacy-vectors of all relative holomorphs of an elementary Abelian group of order 16