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Israel Journal of Mathematics

, Volume 77, Issue 3, pp 265–271 | Cite as

A sharper tits alternative for 3-manifold groups

  • Walter Parry
Article

Abstract

The following theorem is proven. LetM be a closed, orientable, irreducible 3-manifold such that rankH 1(M, ℤ/pℤ)≥3 for some primep. Then either π1(M) is virtually solvable or it contains a free group of rank 2.

Keywords

Adjoint Representation Solvable Group Fuchsian Group Free Abelian Group Finite Cover 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1992

Authors and Affiliations

  • Walter Parry
    • 1
  1. 1.Department of MathematicsEastern Michigan UniversityYpsilantiUSA

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