Isoperimetric Functions of Amalgamations of Nilpotent Groups
| Title | Isoperimetric Functions of Amalgamations of Nilpotent Groups |
| Publication Type | Technical Report |
| Year of Publication | 1998 |
| Authors | Hidber, C. |
| Other Numbers | 1124 |
| Abstract | We consider amalgamations of finitely generated nilpotent groups of class c. We show that doubles satisfy a polynomial isoperimetric inequality of degree 2cu2. Generalising doubles we introduce non-twisted amalgamations and we show that they satisfy a polynomial isoperimetric inequality as well. We give a sufficient condition for amalgamations along abelian subgroups to be non-twisted and thereby to satisfy a polynomial isoperimetric inequality. We conclude by giving an example of a twisted amalgamation along an abelian subgroup having an exponential isoperimetric function. |
| URL | http://www.icsi.berkeley.edu/ftp/global/pub/techreports/1998/tr-98-001.pdf |
| Bibliographic Notes | ICSI Technical Report TR-98-001 |
| Abbreviated Authors | C. Hidber |
| ICSI Publication Type | Technical Report |