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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.
Symmetric Presentation Of Finite Groups, Thuy Nguyen
Symmetric Presentation Of Finite Groups, Thuy Nguyen
Theses Digitization Project
The main goal of this project is to construct finite homomorphic images of monomial infinite semi-direct products which are called progenitors. In this thesis, we provide an alternative convenient and efficient method. This method can be applied to many groups, including all finite non-abelian simple groups.
Symmetric Generation Of M₂₂, Bronson Cade Lim
Symmetric Generation Of M₂₂, Bronson Cade Lim
Theses Digitization Project
This study will prove the Mathieu group M₂₂ contains two symmetric generating sets with control grougp L₃ (2). The first generating set consists of order 3 elements while the second consists of involutions.
Homomorphic Images Of Progenitors Of Order Three, Mark Gutierrez
Homomorphic Images Of Progenitors Of Order Three, Mark Gutierrez
Theses Digitization Project
The main purpose of this thesis is to construct finite groups as homomorphic images of infinite semi-direct products, 2*n : N, 3*n : N, and 3*n :m N, where 2*n and 3*n are free products of n copies of the cyclic group C₂ extended by N, a group of permutations on n letters.
Symmetric Generators Of Order 3, Stewart Contreras
Symmetric Generators Of Order 3, Stewart Contreras
Theses Digitization Project
The main purpose of this project is to construct finite homomorphic images of infinite semi-direct products.
Symmetric Generation, Dung Hoang Tri
Symmetric Generation, Dung Hoang Tri
Theses Digitization Project
In this thesis we construct finite homorphic images of infinite semi-direct products, 2*n : N, where 2*n is a free product of n copies the cyclic group of permutations on n letter.
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
On A Symmetric Presentation Of The Double Cover Of M₂₂: 2, Gabriela Laura Maerean
Theses Digitization Project
The purpose of this project is to construct finite homomorphic images of infinite semi-direct products. We will construct two finite homomorphic images, L₂ (8) and PGL₂ (9) of the infinite semi-direct product 2*³ : S₃. The main part of this project is to construct the double cover 2 - M₂₂ : 2 and the automorphism group M₂₂ : 2 of the Matheiu sporadic group M₂₂ as a homomorphic image of the progenitor 2*⁷ : L₃ (2).
Symmetric Representation Of The Elements Of Finite Groups, Barbara Hope Gwinn-Edwards
Symmetric Representation Of The Elements Of Finite Groups, Barbara Hope Gwinn-Edwards
Theses Digitization Project
The main purpose of this thesis is to construct finite groups as homomorphic images of infinite semi-direct products.
Construction Of Finite Homomorphic Images, Jane Yoo
Construction Of Finite Homomorphic Images, Jane Yoo
Theses Digitization Project
The purpose of this thesis is to construct finite groups as homomorphic images of progenitors.
Symmetric Generation Of Finite Homomorphic Images?, Lee Farber
Symmetric Generation Of Finite Homomorphic Images?, Lee Farber
Theses Digitization Project
The purpose of this thesis was to present the technique of double coset enumeration and apply it to construct finite homomorphic images of infinite semidirect products. Several important homomorphic images include the classical groups, the Projective Special Linear group and the Derived Chevalley group were constructed.