Now showing items 1-4 of 4

    • Computation of cohomology operations for finite groups 

      Al-Baydli, Daher (NUI Galway, 2018-08-31)
      The main result of this dissertation is 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 ...
    • Computational Homology of Cubical and Permutahedral Complexes 

      Hegarty, Fintan (2012-09-28)
      Homology is the study of connectivity and "holes" in spaces. The aim of this thesis is to introduce and develop a theory of permutahedral complexes for computations of homology of large data sets and to compare, using ...
    • Computational homology of n-types 

      Le, Van Luyen (2014-01-10)
      An n-type X is a CW-space with homotopy groups \pi_iX=0 for all i>n. Up to homotopy equivalence such a space can be specified algebraically by means of a simplicial group whose Moore complex is trivial in degrees >= n. For ...
    • Discrete vector fields and the cohomology of certain arithmetic and crystallographic groups 

      Bui, Anh Tuan (2015-05-26)
      This thesis has two main topics: Arithmetic groups and Crystallographic groups. The work on arithmetic groups SL(2, Z[1/m]) was motivated by a question of Kevin Hutchinson and also a generalization of the paper "On the ...