Geometriae Dedicata

, Volume 92, Issue 1, pp 95-103

First online:

The Subgroups of Direct Products of Surface Groups

  • Martin R. BridsonAffiliated withMathematical Institute
  • , James HowieAffiliated withDepartment of Mathematics, Heriot-Watt University
  • , Charles F. MillerIIIAffiliated withDepartment of Mathematics and Statistics, University of Melbourne
  • , Hamish ShortAffiliated withLATP, UMR 6632, Université de Provence

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

subgroup direct product free groups surface groups homology of groups