Hokkaido Mathematical Journal

OKUYAMA Takashi,

Splitting mixed groups of torsion-free finite rank II.

Hokkaido Mathematical Journal, 42 (2013) pp.331-343

Fulltext

PDF

Abstract

First we introduce the concept of QD-hulls in arbitrary abelian groups. Then we use the concept to give a new characterization of purifiable torsion-free finite rank subgroups of an arbitrary abelian group. Finally we use it to formulate a splitting criterion for mixed groups of torsion-free finite rank.

MSC(Primary)20K21
MSC(Secondary)20K27
Uncontrolled KeywordsSplitting mixed group, QD-hull, purifiable subgroup, vertical subgroup, N-high subgroup, n-th p-overhang