English

Isolated orderings on amalgamated free products

Group Theory 2014-05-07 v1

Abstract

We show that an amalgamated free product GAHG*_{A}H admits a discrete isolated ordering, under some assumptions of G,HG,H and AA. This generalizes the author's previous construction of isolated orderings, and unlike known constructions of isolated orderings, can produce an isolated ordering with many non-trivial proper convex subgroups.

Keywords

Cite

@article{arxiv.1405.1163,
  title  = {Isolated orderings on amalgamated free products},
  author = {Tetsuya Ito},
  journal= {arXiv preprint arXiv:1405.1163},
  year   = {2014}
}

Comments

10 pages, 3 figures