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| MATH0246-1 | Algebra II
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| Duration : | 30h Th, 30h Pr |
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| Credits/ECTS : |
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| Holder(s) : | Georges Hansoul |
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| Language : | French language |
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| Course 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.
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| Course objective : | Develop the student's abilities and give sufficient basic knowledge of the concepts and methods of abstact algebra. |
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| Prerequisites : | None. |
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| Organization : | A two semesters course at the Institute of Mathematics (B37). |
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| Written notes : | Two syllabus : theory, and exercices. |
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| Assessment : | 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. |
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| Contacts : | HANSOUL Georges,
Institute of Mathematics - B37, Office 059
Grande Traverse, 12 - 4000 Liege
(Sart Tilman)
Phone : 04/366.94.69 - Fax : 04/366.96.47
E-mail : G.Hansoul@ulg.ac.be
TEHEUX Bruno - Phone : 04/366.96.36
E-mail : B.Teheux@ulg.ac.be
CAVUS Rukiye |
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