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Introduction to group and ring theory

Class at Faculty of Arts |
ALGV19012

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Introduction to group theory: basic axioms and examples homomorphisms a isomorphisms group actions

Subgroups: definitions and examples centralizers and normalizers, stabilizers and kernels cyclic groups and cyclic subgroups subgroup generated by subsets of a group the lattice of subgroups of a group

Quotient groups and homomorphisms:  definitions and examples more on cosets and Lagrange's theorem the isomorphism theorems

Direct products: definitions and examples

Introduction to ring theory:  basic definitions and examples ring homomorphism and quotient rings properties of ideals