Event Title

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.

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Apr 20th, 11:25 AM Apr 20th, 11:50 AM

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.