Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 479

Preprint Number 479

Previous Next Preprint server

479. Michael Roizner
Elementary equivalence of the automorphism groups of reduced Abelian p-groups

Submission date: 10 July 2012.


Consider unbounded reduced Abelian p-groups (p > 2) A and A'. In this paper, we prove that if the automorphism groups Aut A and Aut A' are elementary equivalent then the groups A and A' are equivalent in the second order logic bounded by the final rank of the basic subgroups of A and A'.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1207.1951: pdf, ps.

Last updated: March 23 2021 10:22 Please send your corrections to: