Isoperimetric functions and solvable groups
by
Susan Hermiller
University of Nebraska
Coauthors: J.R.J. Groves (University of Melbourne)

A theorem of Derek Holt says that a nilpotent group is automatic if and only if it is virtually abelian. Every nilpotent group is also a solvable group; is Holt's theorem still true if the word ``nilpotent'' is replaced by the word ``solvable''? This talk will be about joint work with John Groves, in which we proved that the answer to this question is yes for a special class of solvable groups, by studying their isoperimetric functions.

Date received: May 14, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cada-04.