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The š‘…<sub>āˆž</sub>-property for nilpotent quotients of Baumslagā€“Solitar groups

The š‘…<sub>āˆž</sub>-property for nilpotent quotients of Baumslagā€“Solitar groups

Abstract A group G has the <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msub> <m:mi>R</m:mi> <m:mi>āˆž</m:mi> </m:msub> </m:math> {R_{\infty}} -property if the number <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>R</m:mi> <m:mo>ā¢</m:mo> <m:mrow> <m:mo>(</m:mo> <m:mi>Ļ†</m:mi> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> {R(\varphi)} of twisted conjugacy classes is infinite for any automorphism Ļ† of G . For such a group G , ā€¦