2015/09/29 by Jiawen Zhang, Zhang, Jiawen
Mathematics · #20F65 #Advanced Operator Algebra Research #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:20F65
paper · pdf · doi:10.48550/arxiv.1509.08883
21 pages
openalex publication_date 2015/09/29 · arxiv created 2015/09/30 · arxiv updated 2015/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce and study various kinds of decomposition complexity. First, we give a characterization of residually finite groups having finite decomposition complexity (FDC). Secondly, we introduce equi-variant straight FDC (sFDC), and prove that a group having equi-variant sFDC if and only if its box space having sFDC. Finally, we show that elementary amenable groups have equi-variant sFDC by introducing something called stable FDC.