Geometry & Topology
- Geom. Topol.
- Volume 2, Number 1 (1998), 11-29.
The symmetry of intersection numbers in group theory
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.
Geom. Topol., Volume 2, Number 1 (1998), 11-29.
Received: 21 February 1997
Revised: 13 March 1998
Accepted: 19 March 1998
First available in Project Euclid: 21 December 2017
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Secondary: 20E06: Free products, free products with amalgamation, Higman-Neumann- Neumann extensions, and generalizations 20E07: Subgroup theorems; subgroup growth 20E08: Groups acting on trees [See also 20F65] 57M07: Topological methods in group theory
Scott, Peter. The symmetry of intersection numbers in group theory. Geom. Topol. 2 (1998), no. 1, 11--29. doi:10.2140/gt.1998.2.11. https://projecteuclid.org/euclid.gt/1513882900