On the existence of spines for Q-rank 1 groups

@inproceedings{Yasaki2007OnTE,
  title={On the existence of spines for Q-rank 1 groups},
  author={Dan Yasaki},
  year={2007}
}
Let X = Γ\G/K be an arithmetic quotient of a symmetric space of non-compact type. In the case that G has Q-rank 1, we construct Γ-equivariant deformation retractions of D = G/K onto a set D0. We prove that D0 is a spine, having dimension equal to the virtual cohomological dimension of Γ. In fact, there is a (k − 1)-parameter family of such deformation retractions, where k is the number of Γ-conjugacy classes of rational parabolic subgroups of G. The construction of the spine also gives a way to… CONTINUE READING

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