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   configuration sets; a right place for ping-pong arguments  
   
نویسنده soleimani malekan meisam
منبع journal of discrete mathematics and its applications - 2024 - دوره : 9 - شماره : 3 - صفحه:191 -202
چکیده    Giving a condition for the amenability of groups, rosenblatt and willis first introducedthe concept of configuration. in this paper, we investigate the relationship between ping-pong lemma and configuration sets, and show that only one configuration set is enough to ensure that several elements in a group generates a free subgroup of that group. using only one two-sided configuration sets, we give, in a sense, a generalization of this result to polycyclic or fc-groups. finiteness and paradoxical decompositions of groups, are other properties which can be characterized with only one configuration set.
کلیدواژه configuration ,fc-group ,finitely presented group ,polycyclic group
آدرس shahid rajaee teacher training university, faculty of science, department of mathematics, iran
پست الکترونیکی msmalekan@gmail.com
 
     
   
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