Name
Title | ||
|---|---|---|
A Nilpotent Quotient Algorithm For Certain Infinitely Presented Groups And Its Applications |
Abstract | ||
|---|---|---|
We describe a nilpotent quotient algorithm for a certain class of infinite presentations: the so-called finite L-presentations. We then exhibit finite L-presentations for various examples and report on the application of our nilpotent quotient algorithm to them. As a result, we obtain conjectural descriptions of the lower central series structure of various interesting groups including the Grigorchuk supergroup, the Brunner-Sidki-Vieira group, the Basilica group, certain generalizations of the Fabrykowski-Gupta group, and certain generalizations of the Gupta-Sidki group. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1142/S0218196708004871 | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION |
Keywords | DocType | Volume |
Nilpotent groups, nilpotent quotients, self-similar groups, lower central series | Journal | 18 |
Issue | ISSN | Citations |
8 | 0218-1967 | 2 |
PageRank | References | Authors |
0.52 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Laurent Bartholdi | 1 | 27 | 8.74 |
| Bettina Eick | 2 | 46 | 15.01 |
| René Hartung | 3 | 2 | 0.85 |