2011•Scientia Sinica MathematicaRequires access
Automorphism groups of in nite meta-(locally cyclic) groups
Heguo Liu, Jun Liao
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Abstract
As a continuation of previous work,in this paper,we mainly study the infinite meta-(locally cyclic) groups and their automorphism groups. Let A and B be torsion free abelian groups of rank 1,G be a cyclic group of order n,and let E be extensions of A by G,G by A or A by B respectively. We study the group structure of E as well as their automorphisms,especially their automorphism groups will be given.