Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-26T21:45:53.701Z Has data issue: false hasContentIssue false
  • English
  • Français

EXTERIOR POWERS OF MODULES FOR GROUP RINGS OF POLYCYCLIC GROUPS

Published online by Cambridge University Press:  01 October 1997

C. J. B. BROOKES ,
J. E. ROSEBLADE  and
J. S. WILSON
C. J. B. BROOKES
Affiliation:
Corpus Christi College, Cambridge
J. E. ROSEBLADE
Affiliation:
Jesus College, Cambridge
J. S. WILSON
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Birmingham
Get access

Abstract

One of the principal impulses for this paper was the consideration of the question, first raised in 1973 by G. Baumslag [2], of whether every finitely generated Abelian by polycyclic group can be embedded in a finitely presented Abelian by polycyclic group. That this cannot be done follows at once from

THEOREM A. Every finitely presented Abelian by polycyclic group has a metanilpotent normal subgroup of finite index.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 56 , Issue 2 , October 1997 , pp. 231 - 244
Copyright
The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)