An axiomatizable profinite group with infinitely many open subgroups of index 2
Group Theory
2016-08-09 v1 Logic
Abstract
We show that a profinite group with the same first-order theory as the direct product over all odd primes of the dihedral group of order , is necessarily isomorphic to this direct product.
Keywords
Cite
@article{arxiv.1608.02085,
title = {An axiomatizable profinite group with infinitely many open subgroups of index 2},
author = {Or Ben Porath and Mark Shusterman},
journal= {arXiv preprint arXiv:1608.02085},
year = {2016}
}