Geometriae Dedicata

, Volume 92, Issue 1, pp 95–103

The Subgroups of Direct Products of Surface Groups

  • Martin R. Bridson
  • James Howie
  • Charles F. MillerIII
  • Hamish Short

DOI: 10.1023/A:1019611419598

Cite this article as:
Bridson, M.R., Howie, J., Miller, C.F. et al. Geometriae Dedicata (2002) 92: 95. doi:10.1023/A:1019611419598


A subgroup of a product of n surface groups is of type FPn if and only if it contains a subgroup of finite index that is itself a product of (at most n) surface groups.

subgroupdirect productfree groupssurface groupshomology of groups

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Martin R. Bridson
    • 1
  • James Howie
    • 2
  • Charles F. MillerIII
    • 3
  • Hamish Short
    • 4
  1. 1.Mathematical InstituteOxfordU.K.
  2. 2.Department of MathematicsHeriot-Watt UniversityEdinburghU.K.
  3. 3.Department of Mathematics and StatisticsUniversity of MelbourneParkvilleAustralia
  4. 4.LATP, UMR 6632Université de ProvenceMarseille cedex 13France