Abelian group

Formal sciences
Mathematics
Algebra
Abstract algebra

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (31)

Abelian p-groups: Groupes abéliens

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

Isomorphism: Order of Group Elements

Explores isomorphism and the order of group elements, emphasizing matching identities and inverses.

Useful Lemmas for p-Groups

Covers useful lemmas for p-groups, including divisibility properties and the existence of specific elements in finite abelian groups.

Finite Abelian Groups: Classification Theorem

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

Introduction, Ch V: Sylow Subgroups

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

Existence in Abelian Case and Group Center

Explores the existence of p-Sylow subgroups in finite groups and the abelian group center.

Group Theory: Active Learning Session

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

Relation between Direct Sum and Hom

Explores the isomorphism between Hom(A, B) and Hom(A, B) for any abelian group B.

Groups: Definitions, Properties, and Homomorphisms

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Lagrange Theorem: Equivalence Relations

Explores Lagrange's theorem in commutative groups and the concept of equivalence relations, demonstrating their practical applications.

Untitled

Page 2 of 2