Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 613

Preprint Number 613

Previous Next Preprint server

613. Saharon Shelah
Indecomposable explicit abelian group

Submission date:


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.

Last updated: August 18 2013 15:12 Please send your corrections to: