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

2014/06/17 by Arielle Leitner, Leitner, Arielle
Mathematics · #57S25 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57S25

paper · pdf · doi:10.48550/arxiv.1406.4534

11 pages, 4 figures

arxiv created 2015/03/11 · arxiv updated 2015/03/12

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.

Related

• Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R)
• Cartan subgroups and generosity in SL₂(ℚ_p)
• Local Limits of Connected Subgroups of SL₃(ℝ)
• Conjugacy Growth and Conjugacy Width of Certain Branch Groups
• Limit Groups are Subgroup Conjugacy Separable