Abstract
We prove that every finitely generated soluble group that is not virtually abelian has a subgroup of one of a small number of types.
2010 Mathematic Subject Classification:
ACKNOWLEDGMENTS
The authors are grateful to the referee for suggesting the use of Laurent polynomials in Section 2, which considerably shortened the argument.
The first author was supported by a Vice-Chancellor's Scholarship from the University of Warwick.
Notes
Communicated by S. Hermiller.