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Theses Digitization Project

Theses/Dissertations

Products of subgroups

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Enumeration And Symmetric Presentations Of Groups, With Music Theory Applications, Jesse Graham Train Jan 2013

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 Generation, Lisa Sanchez Jan 2012

Symmetric Generation, Lisa Sanchez

Theses Digitization Project

The purpose of this project is to conduct a systematic search for finite homomorphic images of infinite semi-direct products mn : N, where m = 2,3,5,7 and N <̲ Sn and construct by hand some of the important homomorphic images that emerge from the search.


Homomorphic Images Of Progenitors Of Order Three, Mark Gutierrez Jan 2010

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 Jan 2010

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 Jan 2010

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.


Construction Of Homomorphic Images, Stephanie Ann Hilber Jan 2009

Construction Of Homomorphic Images, Stephanie Ann Hilber

Theses Digitization Project

This thesis constructs several finite homomorphic images of infinite semi-direct products of the form 2*n:N.


Homomorphic Images Of Semi-Direct Products, Lamies Joureus Nazzal Jan 2004

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.