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Existence of Sylow Subgroups
Explores the proof of the existence of Sylow subgroups in group theory.
Algebra: Practice Exam Solutions
Covers the solution of a practice exam in Algebra, focusing on finding greatest common divisors of polynomials and exploring group properties.
Weyl Characters and Borcherds Products
Explores Weyl characters, Macdonald's identities, and Borcherds products in Euclidean space.
Existence in Abelian Case and Group Center
Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.
Introduction to Group Theory
Covers active learning, video lectures, exercises, categories, group actions, and abelian groups.
Fault tolerance: Stabilizer Subgroup
Explores fault tolerance, error propagation, and the Gottesman-Kill Theorem in stabilizer subgroups.
Useful Variants on Beta Action
Covers abelian groups, Sylow subgroups, and variants on beta action.
Endomorphisms and automorphisms of totally disconnected locally compact groups III
Explores the properties of endomorphisms and automorphisms of locally compact groups, emphasizing invariance, tree representation theory, and minimal subgroups.
Finite Differences: Definition and Proof
Covers the definition of the center of a function using finite differences and provides step-by-step proofs.
Orbit-Stabilizer Theorem: Conjugacy Classes and Direct Products
Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.
