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Tagged with cohomological-dimension gr.group-theory
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Rational cohomological dimension of the lattices in $SL_n(\mathbb{Q}_p)$
What is the rational cohomological dimension of the lattices in $SL_n(\mathbb{Q}_p)$, where $n\geq 3$ ? A reference would be appreciated.
For the definition of "cohomological dimension of a group ...
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Cohomological dimension of $\mathcal{B}_n$
What is the cohomological dimension of the braid group $\mathcal{B}_n$ on n-strands ?
A reference would be appreciated.
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Do the homological dimension and cohomological dimension for a group agree?
Or equivalently, if $G$ is a group, do the projective and injective dimension of $Z$ (viewed as a $ZG$-module) agree?
Thanks!