Kai-uwe Bux
نویسندگان
چکیده
Type FPs A group Γ is of type FPs if Z, regarded as a ZΓ–module via the trivial action, admits a partial projective resolution Ps → Ps−1 → · · · → P1 → P0 → Z→ 0 by finitely generated ZΓ–modules Pi . Every group is of type FP0 . Type FP1 is equivalent to the property of finite generation. Every finitely-presented group is of type FP2 , but Bestvina–Brady showed the converse does not hold in general [1, Example 6.3(3)].
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