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Full-Text Articles in Theory and Algorithms
A Parallel Algorithm To Solve The Mathematical Problem "Double Coset Enumeration Of S₂₄ Over M₂₄", Elena Yavorska Harris
A Parallel Algorithm To Solve The Mathematical Problem "Double Coset Enumeration Of S₂₄ Over M₂₄", Elena Yavorska Harris
Theses Digitization Project
This thesis presents and evaluates a new parallel algorithm that computes all single cosets in the double coset M₂₄ P M₂₄, where P is a permutation on n points of a certain cycle structure, and M₂₄ is the Mathieu group related to a Steiner system S(5, 8, 24) as its automorphism group. The purpose of this work is not to replace the existing algorithms, but rather to explore a possibility to extend calculations of single cosets beyond the limits encountered when using currently available methods.