Geometriae Dedicata

, Volume 92, Issue 1, pp 95–103

The Subgroups of Direct Products of Surface Groups


  • Martin R. Bridson
    • Mathematical Institute
  • James Howie
    • Department of MathematicsHeriot-Watt University
  • Charles F. MillerIII
    • Department of Mathematics and StatisticsUniversity of Melbourne
  • Hamish Short
    • LATP, UMR 6632Université de Provence

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

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© Kluwer Academic Publishers 2002