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Full-Text Articles in Algebraic Geometry
Monomial And Permutation Representation Of Groups, Rebeca Maria Blanquet
Monomial And Permutation Representation Of Groups, Rebeca Maria Blanquet
Theses Digitization Project
The purpose of this project is to introduce another method of working with groups, that is more efficient when the groups we wish to work with are of a significantly large finite order. When we wish to work with small finite groups, we use permutations and matrices. Although these two methods are the general methods of working with groups, they are not always efficient.
A Study On The Modular Structures Of Z₂S₃ And Z₅S₃, Bethany Michelle Tasaka
A Study On The Modular Structures Of Z₂S₃ And Z₅S₃, Bethany Michelle Tasaka
Theses Digitization Project
This project is a study of the properties of the modules Z₂S₃ and Z₅S₃, which are examined both as modules over themselves and as modules over their respective integer fields. Each module is examined separately since they each hold distinct properties. The overall goal is to determine the simplicity and semisimplicity of each module.
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 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).
The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas
The Universal Coefficient Theorem For Cohomology, Michael Anthony Rosas
Theses Digitization Project
This project is an expository survey of the Universal Coefficient Theorem for Cohomology. Algebraic preliminaries, homology, and cohomology are discussed prior to the proof of the theorem.