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

Code	Subject	
MML1018	Groups and Symmetries	

Section	Sem.	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., szanto@math.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.	
Bibliography	[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.