Browsing by Author "Porter, T"

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    Iterated Peiffer pairings in the Moore complex of a simplicial group
    Mutlu, A; Porter, T
    We introduce a pairing structure within the Moore complex NG of a simplicial group G and use it to investigate generators for NG(n) boolean AND D-n where D-n is the subgroup generated by degenerate elements. This is applied to the study of algebraic models for homotopy types.
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    Freeness conditions for crossed squares and squared complexes
    Mutlu, A; Porter, T
    Following Ellis, we investigate the notion of totally free crossed square and related squared complexes. It is shown how to interpret the information in a free simplicial group given with a choice of CW-basis, in terms of the data for a totally free crossed square. Results of Ellis then apply to give a description in terms of tensor products of crossed modules. The paper ends with a purely algebraic derivation of a result of Brown and Loday.