Title data
Stoll, Michael:
On the asymptotics of the growth of 2-step nilpotent groups.
In: Journal of the London Mathematical Society.
Vol. 58
(1998)
Issue 1
.
- pp. 38-48.
ISSN 1469-7750
DOI: https://doi.org/10.1112/S0024610798006371
Abstract in another language
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).
Further data
Item Type: | Article in a journal |
---|---|
Refereed: | Yes |
Subject classification: | 1991 Mathematics Subject Classification: 20F18 |
Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) > Chair Mathematics II (Computer Algebra) - Univ.-Prof. Dr. Michael Stoll Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
Result of work at the UBT: | No |
DDC Subjects: | 500 Science > 510 Mathematics |
Date Deposited: | 10 Mar 2015 12:41 |
Last Modified: | 26 Jul 2022 11:19 |
URI: | https://eref.uni-bayreuth.de/id/eprint/7988 |