Data Structures and Algorithms

    

Computation of Cup I-Product and Steenrod Operations on the Classifying Space of Finite Groups

Authors: Daher Al Baydli

The aim of this paper is to give a computational treatment to compute the cup iproduct and Steerod operations on cohomology rings of as many groups as possible. We find a new method that could be faster than the methods of Rusin, Vo, and Guillot. There are some available approaches for computing Steenrod operations on these cohomology rings. The computation of all Steenrod squares on the Mod 2 cohomology of all groups of order dividing 32 and all but 58 groups of order 64; partial information on Steenrod square is obtained for all but two groups of order 64. For groups of order 32 this paper completes the partial results due to Rusin, Thanh Tung Vo and Guillot.

Comments: 14 Pages. Preprint paper

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[v1] 2020-11-16 09:26:55

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