Study Programmes 2016-2017
MATH0246-2  
Algebra II
Duration :
30h Th, 30h Pr
Number of credits :
Bachelor in mathematics6
Lecturer :
Georges Hansoul
Language(s) of instruction :
French language
Organisation and examination :
Teaching in the first semester, review in January
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
  • Application to basic cryptography and to constructions with ruler and compass.
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 :
None.
Planned learning activities and teaching methods :
Mode of delivery (face-to-face ; distance-learning) :
A two semesters course at the Institute of Mathematics (B37).
Recommended or required readings :
Two syllabus : theory, and exercices.
Assessment methods and criteria :
First session (either January or June) : two exams : a written one with only exercices and an oral one with one or two questions of theory out a previously given list of questions.

Second session (September) : only one oral exam, theory and exercices.
Work placement(s) :
Organizational remarks :
Contacts :
HANSOUL Georges
Institute of Mathématics - B37
Office 059
Grande Traverse, 12 - 4000 Liège
(Sart Tilman)
Phone : 04/366.94.69
Fax : 04/366.95.47
E-mail : G.Hansoul@ulg.ac.be

Julien RASKIN
Phone : 04/366.94.32
E-mail : J.Raskin@ulg.ac.be
 
Laurent DE RUDDER
Phone : 04/366.94.06
E-mail : L.DeRudder@ulg.ac.be