Conjugation in GroupsExplores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.
Free Product: Group TheoryCovers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.
Finite Abelian GroupsCovers Cauchy's theorem, classification of finite abelian groups, direct product properties, and more.
Molecular Orbital TheoryCovers the concept of eigenfunctions of H as bases for irreducible representations and integrals.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Direct Sums ArithmeticExplores the arithmetic of direct sums in group theory, discussing conditions for equality.
