Profinite group

Related lectures (29)

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Covers the Symmetric group, cycle decomposition, transpositions, even and odd permutations, and group actions.

Explores the symmetric group, emphasizing cycle notation and group properties.

Explores Lagrange's theorem applications in group theory and arithmetic, focusing on subgroups, cosets, quotient groups, and homomorphisms.

Explores group morphisms, kernels, and injectivity in group theory.

Delves into advanced group theory concepts such as isomorphisms and homomorphisms.

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

Covers group morphisms, conjugation, isomorphism, and automorphism concepts.

Introduces normal subgroups, group quotients, and their applications in group theory.

Explores active learning through homomorphisms, exact sequences, and comparisons of presentations in Abelian groups.

Explores group homomorphisms, isomorphisms, and generators in abstract algebra.