Become familiar with the fundamental notions of group theory, particularly finite groups,
so as to be able to study and classify some important classes of finite groups.
so as to be able to study and classify some important classes of finite groups.
Curriculum
scheda docente
materiale didattico
M. Artin, Algebra, BOLLATI BORINGHIERI (1997).
Programma
Recalls on the elementary properties of groups. Direct and semi-direct products. Permutation groups and simplicity of alternate groups. Actions on groups. Sylow's theorems. Finitely generated abelian groups, free groups, nilpotent groups and solvable groups. Since this is an advanced course, other topics can also be included upon request of the class.Testi Adottati
A. Machì, Gruppi. Una introduzione a idee e metodi della Teoria dei Gruppi, SPRINGER VERLAG (2007).M. Artin, Algebra, BOLLATI BORINGHIERI (1997).
Modalità Frequenza
It is strongly recommendend to attend lectures.Modalità Valutazione
A written and oral exam are scheduled. The written test (including the partial tests) consists of 5/6 practical / theoretical exercises to be carried out in 2.30 / 3 hours. There will also be two partial tests to exempt the student from the written test. Students will also be assessed on the basis of the seminars they will hold during the course.
scheda docente
materiale didattico
M. Artin, Algebra, BOLLATI BORINGHIERI (1997).
Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 TARTARONE FRANCESCA
Programma
Recalls on the elementary properties of groups. Direct and semi-direct products. Permutation groups and simplicity of alternate groups. Actions on groups. Sylow's theorems. Finitely generated abelian groups, free groups, nilpotent groups and solvable groups. Since this is an advanced course, other topics can also be included upon request of the class.Testi Adottati
A. Machì, Gruppi. Una introduzione a idee e metodi della Teoria dei Gruppi, SPRINGER VERLAG (2007).M. Artin, Algebra, BOLLATI BORINGHIERI (1997).
Modalità Frequenza
It is strongly recommendend to attend lectures.Modalità Valutazione
A written and oral exam are scheduled. The written test (including the partial tests) consists of 5/6 practical / theoretical exercises to be carried out in 2.30 / 3 hours. There will also be two partial tests to exempt the student from the written test. Students will also be assessed on the basis of the seminars they will hold during the course.
scheda docente
materiale didattico
M. Artin, Algebra, BOLLATI BORINGHIERI (1997).
Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 TARTARONE FRANCESCA
Programma
Recalls on the elementary properties of groups. Direct and semi-direct products. Permutation groups and simplicity of alternate groups. Actions on groups. Sylow's theorems. Finitely generated abelian groups, free groups, nilpotent groups and solvable groups. Since this is an advanced course, other topics can also be included upon request of the class.Testi Adottati
A. Machì, Gruppi. Una introduzione a idee e metodi della Teoria dei Gruppi, SPRINGER VERLAG (2007).M. Artin, Algebra, BOLLATI BORINGHIERI (1997).
Modalità Frequenza
It is strongly recommendend to attend lectures.Modalità Valutazione
A written and oral exam are scheduled. The written test (including the partial tests) consists of 5/6 practical / theoretical exercises to be carried out in 2.30 / 3 hours. There will also be two partial tests to exempt the student from the written test. Students will also be assessed on the basis of the seminars they will hold during the course.