Sylow theorems

Related lectures (32)

Page 3 of 4

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

Demonstrates the existence of p-Sylow subgroups in any finite group using induction and the abelian case.

Covers the RSA cryptosystem, encryption, decryption, group theory, Lagrange's theorem, and practical applications in secure communication.

Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.

Explores the philosophy of understanding a group through its subgroups' structure, focusing on finite groups.

Covers fixed points, orbits, and stabilizer subgroups in group actions.

Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.

Explores prime numbers, modular arithmetic, Wilson's theorem, and complexity analysis.

Covers the verification of constructions in the context of abelian groups and Sylow subgroups.

Covers commutators, observables, uncertainty principle, displacement operator, Cauchy-Schwarz inequality, and transforming operators.