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Computing Resolutions Over Finite p-Groups

In: Algebraic Combinatorics and Applications

Author

Listed:
  • Johannes Grabmeier

    (IBM Deutschland Informationssysteme GmbH)

  • Larry A. Lambe

    (Centre for Innovative Computation University of Wales)

Abstract

A uniform and constructive approach for the computation of resolutions and for (co)homology computations for any finite 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 constructing interesting codes using such methods is presented.

Suggested Citation

  • Johannes Grabmeier & Larry A. Lambe, 2001. "Computing Resolutions Over Finite p-Groups," Springer Books, in: Anton Betten & Axel Kohnert & Reinhard Laue & Alfred Wassermann (ed.), Algebraic Combinatorics and Applications, pages 157-195, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59448-9_12
    DOI: 10.1007/978-3-642-59448-9_12
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