Problem sets for the course Algèbre 1 (first semester 2025-2026)
There are two problem sets per week: Tuesday from 1:30 p.m. to 3:30 p.m. and Friday from 3:30 p.m. to 5:30 p.m. (you only need to go to one of the sessions). You can ask me questions via email or come see me.I will be teaching in French, and all the sheets and solutions will also be in French. However, feel free to ask for any clarifications in English.
- Session No. 1: Généralités sur les groupes and its solutions
- Session No. 2: Actions, groupes cycliques et Lagrange and its solutions
- Session No. 3: Sous-groupes distingués et groupes quotients and its solutions
- Session No. 4: Autour du groupe symétrique and its solutions
- Session No. 5: Produits semi-directs, suites exactes et groupes dérivés and its solutions
- Session No. 6: p-groupes, Sylow et révisions and its solutions
- Session No. 7: Intermède géométrique and its solutions
- Session No. 8: Généralités sur les anneaux et modules and its solutions
- Session No. 9: Autour des anneaux d'entiers quadratiques and its solutions
- Session No. 10: Compléments sur les anneaux and its solutions
- Session No. 11: Groupes abéliens de type fini and its solutions
- Session No. 12: Représentations linéaires and its solutions
- Session No. 13: Caractères des représentations and its solutions