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The Cohomology Package

Version 0.1

Marcus Bishop
e-mail: marcus.bishop@epfl.ch

Copyright

(C) 2006 Marcus Bishop

We adopt the copyright regulations of GAP as detailed in the copyright notice in the GAP manual.

Contents

1. Installation and Loading
2. Usage
   2.1 Cohomology Objects
      2.1-1 CohomologyObject
   2.2 Minimal Projective Resolutions
      2.2-1 ProjectiveResolution
   2.3 Cohomology Rings
      2.3-1 CohomologyRing
      2.3-2 IsHomogeneous
      2.3-3 Degree
   2.4 Cohomology Generators and Relators
      2.4-1 CohomologyGenerators
      2.4-2 CohomologyRelators
   2.5 Induced Maps
      2.5-1 InducedHomomorphismOnCohomology
   2.6 Massey Products
      2.6-1 MasseyProduct
3. Leisure and Recreation: Cohomology Rings of All Groups of Size 16

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