Mathematics

Next Level Learning: Honors Modern Algebra

As a discipline, modern algebra—also known as abstract algebra—is rooted in the exploration of group theory. The primary goal for Dr. Mirabi’s students is to explore the Sylow theorem, which states that if we have a group (a mathematical set with a specific operation) with a particular order or size, and if a prime number divides that size, then the group contains a subgroup of that size.