Abelian groups
Copyright policy )Abelian groups
This fifth survey of reviews on abelian groups comprises papers reviewed in 1985-1992. Just as in the preceding surveys, the issues concerning finite abelian groups, topological groups, ordered groups, group algebras, modules (with rare exceptions), and topics on logic are not considered. The issues on the lattice of subgroups of an abelian group are included in Section 11. In contrast to the fourth survey [the author, Itogi Nauki Tekh., Ser. Algebra, Topologiya, Geom. 23, 51-118 (1985; Zbl 0605.20052)], this one does not contain Sections 6 (\(N\)-high subgroups), 9 (rings with a given additive group), and 10 (valuated groups); since only a few papers treated these topics, the material discussed earlier in Sections 9, and 10 is now included in Section 11 and the material of the former Section 6 will be found in Sections 1, 7, 8, and 11 of this survey. On the other hand, the fifth survey has three new sections devoted to separable groups (a new Sect. 5), Butler groups (a new Sect. 6), and the endomorphism rings and automorphism groups of abelian groups (a new Sect. 9).
separable groups, automorphisms, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, abelian groups, automorphism groups, Subgroups of abelian groups, mixed groups, primary groups, Torsion-free groups, infinite rank, Research exposition (monographs, survey articles) pertaining to group theory, lattice of subgroups, torsion free groups, Direct sums, direct products, etc. for abelian groups, Homological and categorical methods for abelian groups, direct sums, survey, Torsion-free groups, finite rank, Extensions of abelian groups, direct products, tensor products, Butler groups, endomorphism rings, endomorphisms, Mixed groups, N-high subgroups, Torsion groups, primary groups and generalized primary groups, Abelian groups
separable groups, automorphisms, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, abelian groups, automorphism groups, Subgroups of abelian groups, mixed groups, primary groups, Torsion-free groups, infinite rank, Research exposition (monographs, survey articles) pertaining to group theory, lattice of subgroups, torsion free groups, Direct sums, direct products, etc. for abelian groups, Homological and categorical methods for abelian groups, direct sums, survey, Torsion-free groups, finite rank, Extensions of abelian groups, direct products, tensor products, Butler groups, endomorphism rings, endomorphisms, Mixed groups, N-high subgroups, Torsion groups, primary groups and generalized primary groups, Abelian groups
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