The symmetry of intersection numbers in group theory

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.

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

References in corpus (1)

• An Algebraic Annulus Theorem

Cited by in corpus (8)

• Core and intersection number for group actions on trees
• Group actions with commensurated subsets, wallings and cubings
• Splittings of groups and intersection numbers
• Sphere paths in outer space
• The Goldman bracket determines intersection numbers for surfaces and orbifolds
• Scott and Swarup's regular neighbourhood as a tree of cylinders
• Splittings and C-complexes
• Splittings of Non-Finitely Generated Groups