Note on the extensions of Butler groups
- 1 February 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 41 (1) , 117-122
- https://doi.org/10.1017/s0004972700017901
Abstract
In terms of a new notion, called prebalancedness, those extensions of a Butler group by a Butler group which are again Butler groups are characterised. It is shown that the prebalanced extensions of torsion-free abelian groups form a divisible subgroup in the group of extensions.Keywords
This publication has 5 references indexed in Scilit:
- Butler groups of infinite rank and axiom 3Czechoslovak Mathematical Journal, 1987
- Extensions of Butler GroupsPublished by Springer Nature ,1983
- Extensions of Butler groupsPublished by Springer Nature ,1983
- Finite Rank Torsion Free Abelian Groups and RingsLecture Notes in Mathematics, 1982
- Extensions of torsion-free Abelian groups of finite rankArchiv der Mathematik, 1972