2010/03/22 by V. Metaftsis, Metaftsis, V., Stratos Prassidis +2
Chemistry · Mathematics · #Advanced Operator Algebra Research #Chemistry #Combinatorics #Conjecture #Crystallography #Free group #Free product #Geometric and Algebraic Topology #Group (periodic table) #Group theory #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Mathematics #Physics #Pure mathematics #Quantum mechanics #math.GR #math.KT #msc:19B28 #msc:20E06
paper · pdf · doi:10.48550/arxiv.1003.4139
11 pages, no figures
arxiv created 2010/03/22 · openalex publication_date 2010/03/22 · arxiv updated 2010/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the holomorph of the free group on two generators satisfies the Farrell-Jones Fibered Isomorphism Conjecture. As a consequence, we show that the lower K-theory of the above group vanishes.