 

W. A. Bogley and J. Harlander
Improving tameness for metabelian groups


Published: 
October 13, 2004 
Keywords: 
metabelian group, finiteness properties, Sigma theory, tame module 
Subject: 
Primary 20F16, Secondary 20J06 


Abstract
We show that any finitely generated metabelian group can be
embedded in a metabelian group of type F_{3}. More generally, we prove that if
n is a positive integer and Q is a finitely generated abelian group, then
any finitely generated ZQmodule can be embedded in a module that is
ntame. Combining with standard facts, the F_{3} embedding theorem follows
from this and a recent theorem of R. Bieri and J. Harlander.


Author information
W. A. Bogley:
Department of Mathematics, Oregon State University, Corvallis, OR 973314605
bogley@math.orst.edu
http://oregonstate.edu/~bogleyw/
J. Harlander:
Department of Mathematics, Western Kentucky University, Bowling Green, KY 421015730
jens.harlander@wku.edu

