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

  • Kropholler P
  • Roller M
  • 3

    Readers

    Mendeley users who have this article in their library.
  • 1

    Citations

    Citations of this 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 H/N ≅ ℤ, then e(G, H) = 1 + rank H1(G, ℤ [H\G]). We also consider some generalizations of this theorem.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Peter H. Kropholler

  • Martin A. Roller

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free