Open Access
February 2013 Splitting mixed groups of torsion-free finite rank II
Takashi OKUYAMA
Hokkaido Math. J. 42(3): 331-343 (February 2013). DOI: 10.14492/hokmj/1384273385

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.

Citation

Download Citation

Takashi OKUYAMA. "Splitting mixed groups of torsion-free finite rank II." Hokkaido Math. J. 42 (3) 331 - 343, February 2013. https://doi.org/10.14492/hokmj/1384273385

Information

Published: February 2013
First available in Project Euclid: 12 November 2013

zbMATH: 1280.20060
MathSciNet: MR3137388
Digital Object Identifier: 10.14492/hokmj/1384273385

Subjects:
Primary: 20K21 , 20K27

Keywords: N-high subgroup , n-th p-overhang , purifiable subgroup , QD-hull , splitting mixed group , vertical subgroup

Rights: Copyright © 2013 Hokkaido University, Department of Mathematics

Vol.42 • No. 3 • February 2013
Back to Top