Kurosh rank of intersections of subgroups of free products of right-orderable groups
Kurosh rank of intersections of subgroups of free products of right-orderable groups
We prove that the reduced Kurosh rank of the intersection of two subgroups H and K of a free product of right-orderable groups is bounded above by the product of the reduced Kurosh ranks of H and K.
In particular, taking the fundamental group of a graph of groups with trivial vertex and edge groups, and its Bass-Serre tree, our theorem becomes the desired inequality of the usual strengthened Hanna Neumann conjecture for free groups.
649-661
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Martino, Armando
65f1ff81-7659-4543-8ee2-0a109be286f1
Schwabrow, Inga
9564385e-f4b2-4fef-99c4-3259203f3067
2014
Antolin, Yago
2ff7c13c-8a0d-4a50-9de5-63a750896e4c
Martino, Armando
65f1ff81-7659-4543-8ee2-0a109be286f1
Schwabrow, Inga
9564385e-f4b2-4fef-99c4-3259203f3067
Antolin, Yago, Martino, Armando and Schwabrow, Inga
(2014)
Kurosh rank of intersections of subgroups of free products of right-orderable groups.
Mathematical Research Letters, 21 (4), .
(doi:10.4310/MRL.2014.v21.n4.a2).
Abstract
We prove that the reduced Kurosh rank of the intersection of two subgroups H and K of a free product of right-orderable groups is bounded above by the product of the reduced Kurosh ranks of H and K.
In particular, taking the fundamental group of a graph of groups with trivial vertex and edge groups, and its Bass-Serre tree, our theorem becomes the desired inequality of the usual strengthened Hanna Neumann conjecture for free groups.
Text
kurosh.pdf
- Accepted Manuscript
More information
Published date: 2014
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 402874
URI: http://eprints.soton.ac.uk/id/eprint/402874
ISSN: 1073-2780
PURE UUID: 1fe25c19-9675-47d9-b803-3fc01afcfd4e
Catalogue record
Date deposited: 17 Nov 2016 14:05
Last modified: 15 Mar 2024 03:32
Export record
Altmetrics
Contributors
Author:
Yago Antolin
Author:
Inga Schwabrow
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics