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

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). pp. 107-110. ISSN 0022-4049, 1873-1376

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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 H triangle N with H/N congruent to Z, then e(G, H) = 1 + rank H-1 (G, Z [H\G]). We also consider some generalizations of this theorem.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Jul 2023 06:21
Last Modified: 06 Jul 2023 06:21
URI: https://pred.uni-regensburg.de/id/eprint/51702

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