Lectures related to Finite group

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

Orbit-Stabilizer Theorem: Conjugacy Classes and Direct Products

Covers the Orbit-Stabilizer theorem, conjugacy classes, and direct products in finite groups.

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Conjugation in Groups

Explores conjugation in groups, the direct product of groups, and the classification of finite abelian groups.

Introduction, Ch V: Sylow Subgroups

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

Algebraic Structures: Small Order Groups

Explores small order groups, group morphisms, and the second isomorphism theorem.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Algebra: Group Actions and Direct Products

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

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ServiceNow: Creating Dashboards and Reports

Explores creating dashboards in ServiceNow, focusing on advantages, transition from homepages, and important concepts like tasks and incidents.

Classification of Finite Abelian Groups

Covers the classification theorem for finite abelian groups and introduces rings, including zero divisors and domains.

Existence of Sylow Subgroups

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

Properties of Sylow Subgroups: Group Theory

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

Sylow Subgroups: Structure and Properties

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

Finite Fields and Group Theory

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

Equidistribution of CM Points

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Finite Elements Method: Error Estimation

Explores a priori error estimation in the finite elements method, covering convergence analysis, orthogonality, weak formulations, and optimal precision.

Representation Theory: Finite Subgroups of SU(2)

Explores representation theory and character theory of finite groups, including scalar product and McKay graph.

Finite Abelian Groups & Rings

Explores the classification of finite abelian groups and rings, emphasizing elementary divisors and properties of rings.

Automorphism Groups: Essential Chief Series

Explores essential chief series in tdlc groups, focusing on closed, normal subgroups and their chief factors.