Crossed complexes, free crossed resolutions and graph products of groups
نویسنده
چکیده
The category of crossed complexes gives an algebraic model of CW -complexes and cellular maps. Free crossed resolutions of groups contain information on a presentation of the group as well as higher homological information. We relate this to the problem of calculating non-abelian extensions. We show how the strong properties of this category allow for the computation of free crossed resolutions of graph products of groups, and so obtain computations of higher homotopical syzygies in this case. 1
منابع مشابه
Free crossed resolutions for graph products and amalgamated sums of groups
The category of crossed complexes gives an algebraic model of CW -complexes and cellular maps. We show how the strong properties of this category allow for the computation of free crossed resolutions of graph products of groups, and of free products with amalgamation, given free crossed resolutions of the individual groups. This gives computations of higher homotopical syzygies in these cases.
متن کاملCrossed Complexes, and Free Crossed Resolutions for Amalgamated Sums and Hnn-extensions of Groups
The category of crossed complexes gives an algebraic model of CW -complexes and cellular maps. Free crossed resolutions of groups contain information on a presentation of the group as well as higher homological information. We relate this to the problem of calculating non-abelian extensions. We show how the strong properties of this category allow for the computation of free crossed resolutions...
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The category of crossed complexes gives an algebraic model of CW-complexes and cellular maps. Free crossed resolutions of groups contain information on a presentation of the group as well as higher homological information. We relate this to the problem of calculating non-abelian extensions. We show how the strong properties of this category allow for the computation of free crossed resolutions ...
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