شماره ركورد كنفرانس :
3934
عنوان مقاله :
The index of second center in finitely generated groups with a
condition on infinite subsets
پديدآورندگان :
Pazandeh SH. Fatemeh Fateme.Pazandeh@Gmail.com Damghan University; , Faramarzi S. Asadollah faramarzi@du.ac.ir Damghan University;
كليدواژه :
Finitely generated groups , Residually finite groups , Locally graded groups.
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
چكيده فارسي :
Let G be a group. We say that G satisfies the condition T(1) if every infinite set of elements of
G contains three distinct elements x , y; z such that [x; y; z] = 1 = [y; z; x] = [z; x; y]. In this paper
we show that a finitely generated residually finite (locally graded) group G is in T(1) if and only if
G=Z2(G) is finite.
