English

Conjugacy Limits of the Cartan Subgroup in SL(3,R)

Geometric Topology 2015-03-12 v2

Abstract

A limit group is the limit of a sequence of conjugates of the diagonal Cartan subgroup, C, of SL(3,R). We show C has 5 possible limit groups, up to conjugacy. Each limit group is determined by an equivalence class of nonstandard triangle, and we give a criterion for a sequence of conjugates of C to converge to each of the 5 limit groups.

Keywords

Cite

@article{arxiv.1406.4534,
  title  = {Conjugacy Limits of the Cartan Subgroup in SL(3,R)},
  author = {Arielle Leitner},
  journal= {arXiv preprint arXiv:1406.4534},
  year   = {2015}
}

Comments

11 pages, 4 figures