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A Study Of Finite Symmetrical Groups, May Majid
A Study Of Finite Symmetrical Groups, May Majid
Theses Digitization Project
This study investigated finite homomorphic images of several progenitors, including 2*⁵ : S₅, 2*⁶ : A₆, and 3*⁵ : C₅ The technique of manual of double coset enumeration is used to construct several groups by hand and computer-based proofs are given for the isomorphism types of the groups that are not constructed.
Enumeration And Symmetric Presentations Of Groups, With Music Theory Applications, Jesse Graham Train
Enumeration And Symmetric Presentations Of Groups, With Music Theory Applications, Jesse Graham Train
Theses Digitization Project
The purpose of this project is to construct groups as finite homomorphic images of infinite semi-direct products. In particular, we will construct certain classical groups and subgroups of sporadic groups, as well groups with applications to the field of music theory.
A Study Of Finite Symmetrical Groups, Patrick Kevin Martinez
A Study Of Finite Symmetrical Groups, Patrick Kevin Martinez
Theses Digitization Project
This study discovered several important groups that involve the classical and sporadic groups. These groups appeared as finite homomorphic images of the progenitors 3*8 : PGL₂(7), 2*¹⁴ : L₃ (2), 5*³ : S₃ and 7*2 : m S₃.