Presentation of a group

Related lectures (32)

Explores Coxeter groups, word length, simple reflections, and unique elements.

Introduces the concept of restriction functors in group actions.

Explores the impact of spatial configuration on teaching interactions in classrooms, analyzing seating arrangements and teacher movements.

Explores a concrete example of adjunction in category theory and covers natural transformations and group theory concepts.

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

Explores integer factorization using the quadratic sieve method and the challenges of working with algebraic number fields.

Presents the Lemma of the Five, a fundamental result in group theory.

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

Covers the concept of homotopy classes and their properties in topology, including short components and group concatenation.

Covers the definition of solvable groups and the abelian property of group quotients.

Explores functors F_{Ab} and Hom (-,-) in group theory, including presentations and homomorphisms.

Explores the concept of free abelian groups as an important left adjoint functor.

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