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Remarks on a theorem of Swarup on ends of pairs of groups

Remarks on a theorem of Swarup on ends of pairs of groups
Remarks on a theorem of Swarup on ends of pairs of groups
We give an algebraic proof of a recent theorem of Swarup, which states that if H is a subgroup of infinite index in a finitely generated group G and if e (G, N) = 1 for all subgroups N?H with , then . We also consider some generalizations of this theorem.
0022-4049
107-110
Kropholler, Peter H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Roller, Martin A.
d8dc61e9-68be-44b3-9914-23e4d540a1db
Kropholler, Peter H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Roller, Martin A.
d8dc61e9-68be-44b3-9914-23e4d540a1db

Kropholler, Peter H. and Roller, Martin A. (1996) Remarks on a theorem of Swarup on ends of pairs of groups. Journal of Pure and Applied Algebra, 109 (1), 107-110. (doi:10.1016/0022-4049(95)00080-1).

Record type: Article

Abstract

We give an algebraic proof of a recent theorem of Swarup, which states that if H is a subgroup of infinite index in a finitely generated group G and if e (G, N) = 1 for all subgroups N?H with , then . We also consider some generalizations of this theorem.

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Published date: May 1996
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 349600
URI: https://eprints.soton.ac.uk/id/eprint/349600
ISSN: 0022-4049
PURE UUID: 4ea72992-0d4f-42ac-9e7f-90d93ea96c28
ORCID for Peter H. Kropholler: ORCID iD orcid.org/0000-0001-5460-1512

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Date deposited: 09 Apr 2013 15:51
Last modified: 26 Jul 2019 00:31

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