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Classifying the Isomorphy Classes of the Special Orthogonal Group for Characteristic 2
Session Number
Project ID: MATH 01
Advisor(s)
Dr. Ellen Ziliak, Dept. of Mathematical and Computational Sciences, Benedictine University
Discipline
Mathematics
Start Date
20-4-2022 11:25 AM
End Date
20-4-2022 11:50 AM
Abstract
In this presentation we will be studying the Special Orthogonal group which consists of matrices that are orthogonal with determinant 1. The values in our matrices are in a finite field of characteristic 2, this means we are working modulo 2. The goal of this research is to characterize the involutions for this group. Applications of our research can be found in many fields including molecular systems biology, rotational physics, and computer graphics.
Classifying the Isomorphy Classes of the Special Orthogonal Group for Characteristic 2
In this presentation we will be studying the Special Orthogonal group which consists of matrices that are orthogonal with determinant 1. The values in our matrices are in a finite field of characteristic 2, this means we are working modulo 2. The goal of this research is to characterize the involutions for this group. Applications of our research can be found in many fields including molecular systems biology, rotational physics, and computer graphics.