## 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 |