Publication Details
Title: Isoperimetric Functions of Amalgamations of Nilpotent Groups
Author: C. Hidber
Group: ICSI Technical Reports
Date: January 1998
PDF: ftp://ftp.icsi.berkeley.edu/pub/techreports/1998/tr-98-001.pdf
Overview:
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.
Bibliographic Information:
ICSI Technical Report TR-98-001
Bibliographic Reference:
C. Hidber. Isoperimetric Functions of Amalgamations of Nilpotent Groups. ICSI Technical Report TR-98-001, January 1998
Author: C. Hidber
Group: ICSI Technical Reports
Date: January 1998
PDF: ftp://ftp.icsi.berkeley.edu/pub/techreports/1998/tr-98-001.pdf
Overview:
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.
Bibliographic Information:
ICSI Technical Report TR-98-001
Bibliographic Reference:
C. Hidber. Isoperimetric Functions of Amalgamations of Nilpotent Groups. ICSI Technical Report TR-98-001, January 1998