Grupos e Representações
Code
11588
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Matemática
Credits
6.0
Teacher in charge
António José Mesquita da Cunha Machado Malheiro
Total hours
52
Teaching language
Português
Subject matter
I. Group Theory
1. Basic notions.
2. Permutation groups.
3. Sylow Theorems.
4. Automorphism groups (including Jordan-Holder Theorem).
5. Soluble and Nilpotent groups.
[6. Finite abelian groups (optional)]
II. Representation Theory
1. Representations, modules and group algebras.
2. Mashke''s Theorem and Schur''s Lemma.
3. Character theory.
4. Applications (Burnside Theorems).
Bibliography
- John F. Humphreys, A course in group theory
- Ian D. Macdonald, The theory of groups
- John S. Rose, A course on group theory
- Joseph J. Rotman, An introduction to the theory of groups
- William Fulton and Joe Harris, Representation Theory (A first course)
- Gordon James and Martin Liebeck, Representations and Characters of Groups