Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master

SUBJECT

Code
Subject
MML1018 Groups and Symmetries
Section
Semester
Hours: C+S+L
Category
Type
Computational Mathematics - in Hungarian
2
2+1+0
speciality
compulsory
Didactic Mathematics - in Hungarian
2
2+1+0
speciality
compulsory
Interdisciplinary Mathematics - in Hungarian
4
2+1+0
speciality
compulsory
Teaching Staff in Charge
Assoc.Prof. SZANTO Csaba Lehel, Ph.D.,  szantomath.ubbcluj.ro
Aims
The aim of the course is the introduction of those notions from group theory which contribute to the mathematical modeling of different symmetries.
Content
The course will cover basic notions from group theory emphasizing their interdisciplinary application in elementary geometry, physics, chemistry and biology. There will be details on dihedral groups, symmetric groups and rotational groups, on conjugacy classes and partitions, on Sylow@s theorems, on lattices and wallpaper patterns, on free groups and the graph theoretical proof of Nielsen-Schreier@s theorem.
References
[1]. M. A. Armstrong, Groups and Symmetry, Undergraduate Texts in Mathematics, Springer 1988.
[2]. I. R. Safarevics, Algebra, Typotex 2000.
[3]. Derek J.S. Robinson, A Course in the Theory of Groups, Graduate Texts in Mathematics, Springer 1996.
[4]. N. Jacobson, Basic Algebra I, W.H. Freeman and Company 1974.
Assessment
Written exam. The students receive problem sheets on seminars. Each correctly and individually solved problem values 0.2 points.
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject