Concept

P-group

Related lectures (31)

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

Abelian p-groups: Groupes abéliens

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

Moodle Environment

Explores the support services and environment of Moodle at EPFL, including group modes, admin tools, course management, and user interactions.

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Identical Particles Systems: Bosons

Covers systems with identical particles, focusing on bosons and their properties.

Definition: Understanding Group Structures

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

Homology of Riemann Surfaces

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

ServiceNow: Creating Dashboards and Reports

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

Coxeter Groups: Classification Theorem & Order of F_4

Explores the classification theorem for Coxeter groups and the order of F_4.

Group Actions: Theory and Examples

Explores concrete examples of group actions on sets, focusing on actions that do not change the set.

Group Theory: Torsion and Divisibility

Covers the concepts of torsion and divisibility in group theory.

Group Theory: Special Cases

Covers special cases in group theory, focusing on group actions and functors.

Abelian Groups: First Approach

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

Bar Construction: Homology Groups and Classifying Space

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

Abelian Groups: Fourth Property

Explores the fourth property of p-Sylow subgroups in abelian groups.

Sylow Subgroups: Structure and Properties

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

The Role of Symmetries

Delves into symmetries in physics, covering group theory, perturbation, and quantification.

Algebra Review: Rings, Fields, and Groups

Covers a review of algebraic structures such as rings, fields, and groups, including integral domains, ideals, and finite fields.

Universal Property of Groups

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Quotients in Abelian Groups

Covers quotients in abelian groups and the concept of free abelian groups, showing that every abelian group is isomorphic to a quotient of a free abelian group.