Submission date:

Abstract:

For every lambda we give an explicit construction of an Abelian group with no non-trivial automorphisms. In particular the group absolutely has no non-trivial automorphisms, hence is absolutely indecomposable. Earlier we knew a stronger existence theorem but only up to a quite large cardinal which was a necessary restriction. In another direction the construction does not use the axiom of choice.

Mathematics Subject Classification: 03C60, 20K30, 20K20, 13C99, 03E55, 03E75, 03C75

Keywords and phrases:

Full text arXiv 1308.2394: pdf, ps.