Residually finite group

Related lectures (17)

Explores self-similar groups acting on rooted trees and their properties.

Covers self-similar groups and automorphisms of rooted trees, exploring residually finite groups and congruence subgroups.

Explores the beautiful properties of the p-Sylow subgroups of a finite group.

Explores the proof of the existence of Sylow subgroups in group theory.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

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

Focuses on abelian p-groups, demonstrating technical results for classifying finite abelian groups.

Explores solutions of the 2018 exam, finite fields, group theory, congruences, and polynomial irreducibility in Q[X].

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

Covers technical lemmas on abelian p-groups and maximal order elements.

Introduces the theory of abelian groups, focusing on p-abelian groups and their structure.

Covers commutative groups and their significance in cryptography.

Covers group actions, conjugacy classes, centralizers, direct products, and finite abelian groups.

Delves into group theory, emphasizing the centralizer of elements and the classification of finite abelian groups.

Explores the applications of Lagrange's theorem in algebra, covering corollaries, cyclic groups, and quotient groups.

Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.

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