A Brown-style criterion characterizes when a group admits a finite-skeleton classifying space for a family of subgroups, with applications to finite extensions and Lück's theorem.
Geometric group theory , volume 63 of American Mathematical Society Colloquium Publications
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Brown's Criterion and classifying spaces for families
A Brown-style criterion characterizes when a group admits a finite-skeleton classifying space for a family of subgroups, with applications to finite extensions and Lück's theorem.