On Bounded Languages and the Geometry of Nilpotent Groups

نویسندگان

  • Martin R. Bridson
  • Robert H. Gilman
  • MARTIN R. BRIDSON
  • ROBERT H. GILMAN
چکیده

Bounded languages are a class of formal languages which includes all context free languages of polynomial growth. We prove that if a finitely generated group G admits a combing by a bounded language and this combing satisfies the asynchronous fellow traveller property, then either G is virtually abelian, or else G contains an element g of infinite order such that gn and gm are conjugate for some

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تاریخ انتشار 1998