Algebraic Structures I

Course Information
TitleΑΛΓΕΒΡΙΚΕΣ ΔΟΜΕΣ Ι / Algebraic Structures I
Code0106
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter/Spring
CommonYes
StatusActive
Course ID40002472

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 294
OrientationAttendance TypeSemesterYearECTS
CoreCompulsory Course325.5

Class Information
Academic Year2015 – 2016
Class PeriodWinter
Faculty Instructors
Weekly Hours3
Class ID
600004643
Type of the Course
  • Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
Learning Outcomes
Understanding the basic notions of Algebraic Structures I.
General Competences
  • Apply knowledge in practice
  • Retrieve, analyse and synthesise data and information, with the use of necessary technologies
  • Work autonomously
  • Be critical and self-critical
  • Advance free, creative and causative thinking
Course Content (Syllabus)
Groups, Subgroups, Group generated by a set, Homomorphisms of groups, Lagrange Theorem, Order of a group and order of an element, Euler's Theorem, Fermat's Theorem, Wilson's Theorem and their applications in arithmetics, Normal subgroups, Quotient groups, Isomorphisms theorems, Cyclic groups, their classification and their applications (Primitive roots (mod n)), Equation class of conjugation, Permutation groups, Dihedral groups, Direct product of groups.
Keywords
Groups, Quotient group, Isomorphism theorems, Cyclic groups, Equation class of conjugation
Educational Material Types
  • Notes
  • Book
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures391.3
Tutorial130.4
Total521.7
Student Assessment
Description
Examinations
Student Assessment methods
  • Written Assignment (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
Εισαγωγή στην Άλγεβρα, J. Fraleigh Αλγεβρικές Δομές I, Ε. Ψωμόπουλος Εισαγωγή στην Σύγχρονη Άλγεβρα, Σ. Μποζαπαλίδης Σημειώσεις στις Αλγεβρικές Δομές I, ΑΙ Πάπιστας
Last Update
19-09-2013