20410746 - AL440 – GROUP THEORY

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.

Curriculum

teacher profile | teaching materials

Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 MEROLA FRANCESCA, TOLLI FILIPPO

Programme

Review of elementary group theory. Semidirect products. Permutation groups and simplicity. Group actions on a subset. Sylow theorems. Abelian finitely generated groups. Free, nilpotents and solvable groups. Group representations.



Core Documentation

'Groups' by A. Machì, Springer

Type of delivery of the course

In-person classes: there will also probably be the possibility of attending online

Attendance

Attending is not mandatory but strongly recommended

Type of evaluation

A written and oral exam are scheduled.

teacher profile | teaching materials

Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 MEROLA FRANCESCA, TOLLI FILIPPO

Programme

Review of elementary group theory. Semidirect products. Permutation groups and simplicity. Group actions on a subset. Sylow theorems. Abelian finitely generated groups. Free, nilpotents and solvable groups. Group representations.

Core Documentation

'Gruppi' di A. Machì, Springer

Type of delivery of the course

Lectures by the teacher with sessions of exercises only. In any case, the instructions of the University regarding the possibility of transmitting the lessons on Microsoft Teams will be followed if this becomes necessary for the Covid emergency.

Attendance

Attending is not mandatory but strongly recommended

Type of evaluation

see lecturer profile

teacher profile | teaching materials

Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 MEROLA FRANCESCA, TOLLI FILIPPO

Programme

Review of elementary group theory. Semidirect products. Permutation groups and simplicity. Group actions on a subset. Sylow theorems. Abelian finitely generated groups. Free, nilpotents and solvable groups. Group representations.



Core Documentation

'Groups' by A. Machì, Springer

Type of delivery of the course

In-person classes: there will also probably be the possibility of attending online

Attendance

Attending is not mandatory but strongly recommended

Type of evaluation

A written and oral exam are scheduled.

teacher profile | teaching materials

Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 MEROLA FRANCESCA, TOLLI FILIPPO

Programme

Review of elementary group theory. Semidirect products. Permutation groups and simplicity. Group actions on a subset. Sylow theorems. Abelian finitely generated groups. Free, nilpotents and solvable groups. Group representations.

Core Documentation

'Gruppi' di A. Machì, Springer

Type of delivery of the course

Lectures by the teacher with sessions of exercises only. In any case, the instructions of the University regarding the possibility of transmitting the lessons on Microsoft Teams will be followed if this becomes necessary for the Covid emergency.

Attendance

Attending is not mandatory but strongly recommended

Type of evaluation

see lecturer profile

teacher profile | teaching materials

Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 MEROLA FRANCESCA, TOLLI FILIPPO

Programme

Review of elementary group theory. Semidirect products. Permutation groups and simplicity. Group actions on a subset. Sylow theorems. Abelian finitely generated groups. Free, nilpotents and solvable groups. Group representations.



Core Documentation

'Groups' by A. Machì, Springer

Type of delivery of the course

In-person classes: there will also probably be the possibility of attending online

Attendance

Attending is not mandatory but strongly recommended

Type of evaluation

A written and oral exam are scheduled.

teacher profile | teaching materials

Mutuazione: 20410746 AL440 - TEORIA DEI GRUPPI in Matematica LM-40 MEROLA FRANCESCA, TOLLI FILIPPO

Programme

Review of elementary group theory. Semidirect products. Permutation groups and simplicity. Group actions on a subset. Sylow theorems. Abelian finitely generated groups. Free, nilpotents and solvable groups. Group representations.

Core Documentation

'Gruppi' di A. Machì, Springer

Type of delivery of the course

Lectures by the teacher with sessions of exercises only. In any case, the instructions of the University regarding the possibility of transmitting the lessons on Microsoft Teams will be followed if this becomes necessary for the Covid emergency.

Attendance

Attending is not mandatory but strongly recommended

Type of evaluation

see lecturer profile