Permutation groups on countable vector spaces over prime fields
Logic
2021-12-13 v1 Group Theory
Abstract
We describe all closed permutation groups which act on the set of vectors of a countable vector space over a prime field of odd order and which contain all automorphisms of . In particular, we prove that their number is finite. These groups correspond, up to first-order interdefinability, precisely to all structures with a first-order definition in .
Cite
@article{arxiv.2112.05229,
title = {Permutation groups on countable vector spaces over prime fields},
author = {Bertalan Bodor and Michael Pinsker and Lyra Schiffer and Csaba Szabó},
journal= {arXiv preprint arXiv:2112.05229},
year = {2021}
}
Comments
29 pages