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ON THE ASYMPTOTICS OF THE GROWTH OF 2-STEP NILPOTENT GROUPS

Published online by Cambridge University Press:  01 August 1998

MICHAEL STOLL
MICHAEL STOLL
Affiliation:
Mathematisches Institut der Universität, Universitätsstraße 1, D-40225 Düsseldorf, Germany. E-mail: stoll@math.uni-duesseldorf.de
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Abstract

Pansu has shown that the growth function of every virtually nilpotent group Γ with respect to any finite generating set has asymptotics γ(n)∼αnd, where d is the degree of growth of Γ. The paper refines his result in the special case of 2-step nilpotent groups to obtain γ(n)=αnd +O(nd−1).

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 38 - 48
Copyright
The London Mathematical Society 1998

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