Inventiones mathematicae

, Volume 129, Issue 3, pp 445-470

First online:

Morse theory and finiteness properties of groups

  • Mladen BestvinaAffiliated withDepartment of Mathematics, University of Utah, Salt Lake City, UT 84112, USA (e-mail: bestvina@math.utah.edu, and brady@math.utah.edu)
  • , Noel BradyAffiliated withDepartment of Mathematics, University of Utah, Salt Lake City, UT 84112, USA (e-mail: bestvina@math.utah.edu, and brady@math.utah.edu)

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Abstract

. We examine the finiteness properties of certain subgroups of “right angled” Artin groups. In particular, we find an example of a group that is of type FP(Z) but is not finitely presented.