The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

  title={The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups},
  author={Hyman Bass},
  journal={Proceedings of The London Mathematical Society},
  • H. Bass
  • Published 1 November 1972
  • Mathematics
  • Proceedings of The London Mathematical Society
It will be convenient to say that a group G virtually has a property P if some subgroup of finite index has property P. Thus the theorem above concludes that 'G is virtually nilpotent'. (This terminology is suggested by Serre's definition of virtual cohomological dimension ([5]). The referee points out that 'almost' is often used as we use Virtually'.) Let G be as in the theorem. Milnor shows by a simple direct argument in [4] that G must be polycyclic. Then Wolf shows in [7] (Theorem 4.3) that… 
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