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Abstract: A uniform and constructive approach for the computation of resolutions and for (co)homology computations for any nite p-group is detailed. The resolutions we construct ([32]) are, as vector spaces, as small as the minimal resolution of IFp over the elementary abelian p-group of the same order as the group under study. Our implementations are based on the development of sophisticated algebraic data structures. Applications to calculating functional cocycles are given and the possibility of... (Update)
Context of citations to this paper: More
.... some homological perturbation techniques [3, 1] in the homological correspondent to the work which Grabmeier and Lambe described in [12] from the viewpoint of cohomology. Examples of explicit computations over all dihedral groups D4t are given, with aid of Mathematica....
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BibTeX entry: (Update)
J. Grabmeier, L.A. Lambe. Computing Resolutions Over Finite p-Groups. Proceedings ALCOMA'99. Eds. A. Betten, A. Kohnert, R. Lave, A. Wassermann. Springer Lecture Notes in Computational Science and Engineering, Springer-Verlag, Heidelberg, (2000). http://citeseer.ist.psu.edu/article/grabmeier00computing.html More
@misc{ grabmeier00computing,
author = "J. Grabmeier and L. Lambe",
title = "Computing Resolutions Over Finite p-Groups",
text = "J. Grabmeier, L.A. Lambe. Computing Resolutions Over Finite p-Groups. Proceedings
ALCOMA'99. Eds. A. Betten, A. Kohnert, R. Lave, A. Wassermann. Springer
Lecture Notes in Computational Science and Engineering, Springer-Verlag,
Heidelberg, (2000).",
year = "2000",
url = "citeseer.ist.psu.edu/article/grabmeier00computing.html" }
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