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.
107-110
Kropholler, Peter H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Roller, Martin A.
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May 1996
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), .
(doi:10.1016/0022-4049(95)00080-1).
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
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Local EPrints ID: 349600
URI: http://eprints.soton.ac.uk/id/eprint/349600
ISSN: 0022-4049
PURE UUID: 4ea72992-0d4f-42ac-9e7f-90d93ea96c28
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Date deposited: 09 Apr 2013 15:51
Last modified: 15 Mar 2024 03:46
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Author:
Martin A. Roller
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