Elementary group theory, groups, cosets, normal subgroups, quotient groups, isomorphisms, homomorphisms, applications.

This is an interesting question that touches on the different meanings of the same word in strict mathematical definitions ...

Group theory, a cornerstone of modern algebra, provides a framework to explore the structure, symmetry, and internal operations of sets endowed with a binary operation. Central to this discipline is ...

Homological algebra and representation theory form a powerful confluence in modern mathematics. Homological algebra provides a framework for analysing algebraic structures via chain complexes, ...

In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were ...