Fuchs, Laszlo Abelian p-groups and mixed groups. (English) Zbl 0455.20037 Seminaire de Mathematiques Superieures, 70. Departement de Mathematiques et de Statistique, Universite de Montreal. Montreal, Quebec, Canada: Les Presses de l’Universite de Montreal. 139 p. (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 Documents MSC: 20K10 Torsion groups, primary groups and generalized primary groups 20K21 Mixed groups 20-02 Research exposition (monographs, survey articles) pertaining to group theory 20K25 Direct sums, direct products, etc. for abelian groups 20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups 20K99 Abelian groups Keywords:valued vector spaces; reduced p-group; height function; socles; slices; valuation; nice-exact sequences; free valued vector spaces; projective valued vector spaces; basic subspaces; products of homogeneous spaces; direct sum of cyclic groups; Kulikov’s criterion; Prüfer’s theorem; almost totally injective groups; totally projective p-groups; mixed abelian groups; simply presented p-groups; height matrix; direct sum of groups of rank 1; Ulm-Kaplansky invariants; decomposition basis; Warfield groups; Warfield invariants PDFBibTeX XML