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Full-Text Articles in Physical Sciences and Mathematics
Symmetric Representations Of Elements Of Finite Groups, Abeir Mikhail Kasouha
Symmetric Representations Of Elements Of Finite Groups, Abeir Mikhail Kasouha
Theses Digitization Project
This thesis demonstrates an alternative, concise but informative, method for representing group elements, which will prove particularly useful for the sporadic groups. It explains the theory behind symmetric presentations, and describes the algorithm for working with elements represented in this manner.
Homomorphic Images Of Semi-Direct Products, Lamies Joureus Nazzal
Homomorphic Images Of Semi-Direct Products, Lamies Joureus Nazzal
Theses Digitization Project
The main purpose of this thesis is to describe methods of constructing computer-free proofs of existence of finite groups and give useful techniques to perform double coset enumeration of groups with symmetric presentations over their control groups.