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What is group theory?
What is group theory?
Group Theory is the study of groups. These groups are sets combined with an operation such as multiplication, division, subtraction, or addition, that then satisfies the rules of the set. Likewise, all groups must have an identity (an element that when an operation is applied to it maintains its original status) and each number or element must have an inverse (a number or element that is its opposite). Group theory is then the study and work with these sets of elements.
history
history
Group Theory emerged from three sources: Number Theory, Geometry, and the Theory of Algebraic Equations. Early work in Number Theory shaped the main part of Group Theory and laid the foundation for mathematicians to be successful in using it. Some of the mathematicians that helped build the framework for Group Theory were Abel, Cauchy, Galois, and Lagrange.
Dr. Ellen Kirkman is a professor of mathematics at Wake Forest University. She got her PhD in Mathematics and M.S. in statistics at Michigan State University. Her research focuses on homological algebra, noncommutative algebra, and representation theory. She's engaged in the AWM (Association for Women in Mathematics) and EDGE (Enhancing Diversity in Graduate Education) as a teacher and a treasurer. She enjoys choral music, swimming, and birding.
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