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The symmetry of intersection numbers in group theory

1997/12/31 by Peter Scott
Mathematics · #Combinatorics #Finite Group Theory Research #Finitely generated group #Finitely-generated abelian group #Geometric and Algebraic Topology #Geometry #Group (periodic table) #Group theory #Homotopy and Cohomology in Algebraic Topology #Interpretation (philosophy) #Intersection (aeronautics) #Intersection number #Intersection theory #Mathematical analysis #Mathematics #Physics #Pure mathematics #Symmetric group #Symmetry (geometry) #Symmetry group #math.GR #math.GT #msc:20E06 #msc:20E07 #msc:20E08 #msc:20F32 #msc:57M07

paper · pdf · doi:10.2140/gt.1998.2.11

published as Geom. Topol. 2 (1998) 11-29 · 19 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol2/paper2.abs.html . Includes erratum added to the original, published 19 Mar 1998

openalex publication_date 1998/03/19 · arxiv created 1998/09/07 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For suitable subgroups of a finitely generated group, we define the intersection number of one subgroup with another subgroup and show that this number is symmetric. We also give an interpretation of this number.

Citations