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- W2098497745 abstract "A geometric hypothesis is presented under which the cohomology of a group G given by generators and defining relators can be computed in terms of a group H defined by a subpresentation. In the presence of this hypothesis, which is framed in terms of spherical pictures, one has that H is naturally embedded in G , and that the finite subgroups of G are determined by those of H . Practical criteria for the hypothesis to hold are given. The theory is applied to give simple proofs of results of Collins-Perraud and of Kanevskiĭ. In addition, we consider in detail the situation where G is obtained from H by adjoining a single new generator x and a single defining relator of the form xaxbx ε c , where a, b, c ∈ H and |ε| = 1." @default.
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- W2098497745 date "1992-02-01" @default.
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- W2098497745 title "Aspherical relative presentations" @default.
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- W2098497745 doi "https://doi.org/10.1017/s0013091500005290" @default.
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