English

Locally solvable subgroups of PLo(I) are countable

Group Theory 2018-05-23 v1

Abstract

We show every locally solvable subgroup of PLo(I) is countable. A corollary is that an uncountable wreath product of copies of Z\mathbb{Z} with itself does not embed into PLo(I).

Keywords

Cite

@article{arxiv.1805.08369,
  title  = {Locally solvable subgroups of PLo(I) are countable},
  author = {Amanda Taylor},
  journal= {arXiv preprint arXiv:1805.08369},
  year   = {2018}
}

Comments

9 pages, 1 figure