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- W2067463721 abstract "We present a general condition, based on the idea of n-generating subgroup sets, which implies that a given character 2 Hom(G; ) represents a point in the homotopical or homological -invariants of the group G.L et Gbe a nite simplicial graph,b the flag complex induced byG ,a nd GGthe graph group, or 'right angled Artin group', dened byG .W e use our result on n-generating subgroup sets to describe the homotopical and homological -invariants of GG in terms of the topology of subcomplexes of b. In particular, this work determines the niteness properties of kernels of maps from graph groups to abelian groups. This is the rst complete computation of the -invariants for a family of groups whose higher invariants are not determined | either implicitly or explicitly | by 1 ." @default.
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- W2067463721 date "1998-03-01" @default.
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- W2067463721 title "Higher generation subgroup sets and the $ Sigma $ -invariants of graph groups" @default.
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- W2067463721 doi "https://doi.org/10.1007/s000140050044" @default.
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