# The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

@article{Bass1972TheDO,
title={The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups},
author={Hyman Bass},
journal={Proceedings of The London Mathematical Society},
year={1972},
pages={603-614}
}
• 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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© Association des collaborateurs de Nicolas Bourbaki, 1970-1971, tous droits réservés. L’accès aux archives du séminaire Bourbaki (http://www.bourbaki. ens.fr/) implique l’accord avec les conditions
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