Enumerating finite class-2-nilpotent groups on 2 generators
We compute the numbers g(n,2,2) of nilpotent groups of order n, of class at most 2 generated by at most 2 generators, by giving an explicit formula for the Dirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2009-10.
|
| Subjects: | |
| Online Access: | Get fulltext |
| LEADER | 00548 am a22001213u 4500 | ||
|---|---|---|---|
| 001 | 69449 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Voll, Christopher |e author |
| 245 | 0 | 0 | |a Enumerating finite class-2-nilpotent groups on 2 generators |
| 260 | |c 2009-10. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/69449/1/voll02nov09.pdf | ||
| 520 | |a We compute the numbers g(n,2,2) of nilpotent groups of order n, of class at most 2 generated by at most 2 generators, by giving an explicit formula for the Dirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}. | ||
| 655 | 7 | |a Article | |