Course Information
TitleΘΕΩΡΙΑ ΟΜΑΔΩΝ / Group Theory
Code0131
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorAthanasios Papistas
CommonNo
StatusActive
Course ID40000300

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

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses belonging to the selected specialization635.5

Class Information
Academic Year2019 – 2020
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Class ID
600147666
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
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)
Group action on sets and groups (permutation representation, Orbits, Stabilizers, Lemma Orbit-Stabilizer), Transitive action, Group action by conjugation (normalizer, centralizer), semi-direct product of groups (Dihedral groups), Abelian groups (Free abelian group of finite rank, torsion-free abelian group, torsion abelian group), The decomposition theorem of finitely generated abelian groups (decomposables and indecomposables), Sylow’s Theorems (counting and cyclic methods), Simple groups, Groups of small order.
Keywords
Action, Sylow Theorems, Abelian groups, Series, Soluble groups
Educational Material Types
  • Notes
  • Book
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures782.6
Reading Assigment712.4
Tutorial130.4
Exams30.1
Total1655.5
Student Assessment
Description
Examinations
Student Assessment methods
  • Written Assignment (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Μία Εισαγωγή στην Αλγεβρα, Δ. Βάρσος, Δ. Δεριζιώτης, Γ. Εμμανουήλ, Μ. Μαλιάκας, Α. Μελάς, Ο. Ταλλέλη. Σοφία, 2012 - Εισαγωγή στην Αλγεβρα, J. Fraleigh, Πανεπιστημιακές Εκδόσεις Κρήτης - Άλγεβρα, Δ. Μ. Πουλάκης, Ζήτη, 2015 - Εισαγωγή στη Θεωρία Ομάδων [electronic resource], Θ. Θεοχάρη-Αποστολίδη, kallipos.gr -Θεωρία Ομάδων [electronic resource], Ν. Μαρμαρίδης, kallipos.gr - Μαθήματα Θεωρίας Ομάδων [electronic resource], Α. Πάπιστας, kallipos.gr
Last Update
13-05-2019