English

Constructing groups of type $FP_2$ over fields but not over the integers

Group Theory 2021-03-01 v1

Abstract

We construct examples of groups that are FP2(Q)FP_2(\mathbb{Q}) and FP2(Z/pZ)FP_2(\mathbb{Z}/p\mathbb{Z}) for all primes pp but not of type FP2(Z)FP_2(\mathbb{Z}).

Keywords

Cite

@article{arxiv.2102.13509,
  title  = {Constructing groups of type $FP_2$ over fields but not over the integers},
  author = {Robert Kropholler},
  journal= {arXiv preprint arXiv:2102.13509},
  year   = {2021}
}

Comments

13 pages

R2 v1 2026-06-23T23:32:47.412Z