The algebra department has a history of more than half a century. In the early days, an influential member of the department was László Rédei, one of the founders of research in abstract algebra in Hungary. The list of areas studied in the past decades includes semigroup theory, universal algebra, lattice theory, radical theory, and category theory.
Our present research is dominated by group theory and ring theory. We have ongoing projects in asymptotic group theory, on subgroup growth, the Jordan property of diffeomorphism groups, on the number of conjugacy classes, the base size of permutation groups, on modules over Leavitt path algebras, on questions in invariant theory, and on applications of representation theory of classical groups.
Our weekly seminar has been running since the 1970s and meets on Monday mornings.
 
Head of Department:
 
	
			
				Domokos Mátyás
				
            Research Professor
      
			
		
		
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			Research group:-
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			Research department:Algebra
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			Room:I/5.
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			Phone:06 1 483 8303
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			Email:domokos.matyas (at) renyi.hu
Employees:
 
	
			
				Miklós Abért
				
            Senior Research Fellow
      
			
		
		
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			Research group:Groups and Graphs
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			Research department:Algebra
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			Room:R.2.
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			Phone:06 1 483-8334
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			Email:abert.miklos (at) renyi.hu
 
	
			
				Borbényi Márton
				
            Assistant Research Fellow
      
			
		
		
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			Research group:-
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			Research department:Algebra
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			Room:II.5.
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			Phone:+36 1 483 8326
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			Email:borbenyi.marton (at) renyi.hu
 
	
			
				Daniele Dona
				
            Research Fellow
      
			
		
		
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			Research group:-
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			Research department:Algebra
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			Room:I.2.
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			Phone:+3614838325
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			Email:dona.daniele (at) renyi.hu
 
	
			
				Elek Gábor
				
            Research Professor
      
			
		
		
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			Research group:Groups and Graphs
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			Research department:Algebra
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			Room:III.6.
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			Phone:+36 1 483 8348
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			Email:elek.gabor (at) renyi.hu
 
	
			
				Frenkel Péter
				
            Research Fellow
      
			
		
		
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			Research group:Groups and Graphs
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			Research department:Algebra
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			Room:R.3
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			Phone:1/4838346
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			Email:frenkelp (at) renyi.hu
 
	
			
				Jaelin Kim
				
            Research Fellow
      
			
		
		
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			Research group:Groups and Graphs
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			Research department:Algebra
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			Room:II.2.
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			Phone:+3614838307
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			Email:kim.jaelin (at) renyi.hu
 
	
			
				Márki László
				
            Research Professor Emeritus
      
			
		
		
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			Research group:-
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			Research department:Algebra
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			Room:I.5.
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			Phone:+3614838303
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			Email:marki.laszlo (at) renyi.hu
 
	
			
				Maróti Attila
				
            Research Professor
      
			
		
		
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			Research group:Asymptotic Group Theory
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			Research department:Algebra
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			Room:I.4.
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			Phone:+3614838336
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			Email:maroti.attila (at) renyi.hu
 
	
			
				Pálfy Péter Pál
				
            Research Professor
      
			
		
		
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			Research group:-
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			Research department:Algebra
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			Room:I.3.
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			Phone:06 1 483-8312
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			Email:ppp (at) renyi.hu
 
	
			
				Pham Ngoc Ánh
				
            Research Professor
      
			
		
		
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			Research group:-
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			Research department:Algebra
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			Room:I.5.
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			Phone:06 1 483-8303
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			Email:anh.pham.ngoc (at) renyi.hu
 
	
			
				Pyber László
				
            Research Professor
      
			
		
		
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			Research group:Asymptotic Group Theory
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			Research department:Algebra
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			Room:I.4.
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			Phone:06-1 483-8336
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			Email:pyber.laszlo (at) renyi.hu
 
	
			
				Somlai Gábor
				
            Senior Research Fellow
      
			
		
		
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			Research group:Asymptotic Group Theory
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			Research department:Algebra
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			Room:II.9.
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			Phone:+3614838305
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			Email:somlai.gabor (at) renyi.hu
 
	
			
				Tóth László Márton
				
            Research Fellow
      
			
		
		
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			Research group:Groups and Graphs
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			Research department:Algebra
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			Room:I.6.
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			Phone:+3614838345
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			Email:toth.laszlo.marton (at) renyi.hu