The subgroups of direct products of surface groups

Martin R. Bridson, James Howie, Charles F. Miller, Hamish Short

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)95-103
Number of pages9
JournalGeometriae Dedicata
Volume92
Issue number1
DOIs
Publication statusPublished - 2002

Keywords

  • Direct product
  • Free groups
  • Homology of groups
  • Subgroup
  • Surface groups

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    Bridson, M. R., Howie, J., Miller, C. F., & Short, H. (2002). The subgroups of direct products of surface groups. Geometriae Dedicata, 92(1), 95-103. https://doi.org/10.1023/A:1019611419598