ITERATED HNN-DECOMPOSITIONS OF CONSTRUCTIBLE NILPOTENT-BY-ABELIAN GROUPS

Authors
MEINERT H
Citation
H. Meinert, ITERATED HNN-DECOMPOSITIONS OF CONSTRUCTIBLE NILPOTENT-BY-ABELIAN GROUPS, Communications in algebra, 23(8), 1995, pp. 3155-3164
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
23
Issue
8
Year of publication
1995
Pages
3155 - 3164
Database
ISI
SICI code
0092-7872(1995)23:8<3155:IHOCNG>2.0.ZU;2-E
Abstract
We prove that a, constructible nilpotent-by-abelian group G can be obt ained from a polycyclic group by forming d successive properly ascendi ng HNN-extensions if and only if d is the dimension of the linear subs pace of Hom(G,R) spanned by the geometric invariant Sigma(1)(G,Z)(C). We also obtain a result on the finiteness properties ''type FPm'' of c ertain subgroups of G.