Assistive Drawing Tools: Concepts and Applications

Explores the classification of extensions in group theory, emphasizing split extensions and semi-direct products.

Explores the study of finite groups through subgroup analysis, focusing on Sylow subgroups.

Discusses the theory of free groups, their properties, and relationships with other algebraic structures.

Explores group homomorphisms, Euler's phi function, and group products.

Explores k-fold degenerate sets of eigenfunctions and their basis for irreducible representations.