2023-2024 / MATH0246-2

Algebraic structures


30h Th, 30h Pr

Number of credits

 Bachelor in mathematics6 crédits 


Julien Leroy

Language(s) of instruction

French language

Organisation and examination

Teaching in the second semester


Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

  • Group Theory : groups, subgroups, cyclic group, normal subgroups, quotient groups, Lagrange's theorem, isomorphism theorems. Cauchy theorem, Sylow theorems and p-group. Classification of finite commutative groups. Product of groups.
  • Ring and field theory : modular arithmetic and ring of polynomials, field of fractions of a commutative domain, extension field by an algebraic number, degree of an extension

Learning outcomes of the learning unit

Develop the student's abilities and give sufficient basic knowledge of the concepts and methods of abstact algebra.

Prerequisite knowledge and skills


Planned learning activities and teaching methods

Mode of delivery (face to face, distance learning, hybrid learning)

Blended learning

Additional information:

A two semesters course at the Institute of Mathematics (B37).

Recommended or required readings

Two syllabus : theory, and exercices.

Any session :

- In-person

written exam ( open-ended questions ) AND oral exam

- Remote

written exam ( open-ended questions )

- If evaluation in "hybrid"

preferred in-person

Additional information:

A written one with only exercices and an oral one with one or two questions of theory out a previously given list of questions.

Work placement(s)

Organisational remarks and main changes to the course


Julien Leroy
Institut de mathématique, Quartier Polytech Allée de la découverte 12 (B37) 4000 Liège
Tépéphone: 04/366 94 70 Email: J.Leroy@uliege.be

Association of one or more MOOCs