2005/05/24 by Martin R. Bridson, Martin R Bridson, Bridson, Martin R +2 · 1 citation
Mathematics · #20E08 #20F65 #20F67 #FOS: Mathematics #Finite Group Theory Research #General Topology (math.GN) #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.GN #math.GR #msc:20E08 #msc:20F65 #msc:20F67
paper · pdf · doi:10.48550/arxiv.math/0505506
10 pages, no figures
arxiv created 2005/05/24 · openalex publication_date 2005/05/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let \G be a limit group, S⊂\G a subgroup, and N the normaliser of S. If H1(S,\mathbb Q) has finite \Q-dimension, then S is finitely generated and either N/S is finite or N is abelian. This result has applications to the study of subdirect products of limit groups.