2015/01/15 by Rafał Lutowski, Andrzej Szczepański
Chemistry · Mathematics · #Advanced Algebra and Geometry #Automorphism #Automorphism group #Center (category theory) #Chemistry #Combinatorics #Crystallography #Dimension (graph theory) #Finite Group Theory Research #Geometric and Algebraic Topology #Group (periodic table) #Mathematics #Outer automorphism group #Physics #Quantum mechanics #math.GR #msc:20H15 #msc:57S30
paper · pdf · doi:10.1017/s0305004117000251
published as Math. Proc. Cambridge Philos. Soc. (2018), 164(2), 363-368
arxiv created 2015/01/15 · openalex publication_date 2017/03/06 · arxiv updated 2018/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract Let Γ be a crystallographic group of dimension n , i.e. a discrete, cocompact subgroup of Isom(ℝ n ) = O ( n ) ⋉ ℝ n . For any n ⩾ 2, we construct a crystallographic group with a trivial center and trivial outer automorphism group.