Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T16:38:57.155Z Has data issue: false hasContentIssue false
  • English
  • Français

A NON-FINITELY BASED VARIETY OF CENTRE-BY-ABELIAN-BY-NILPOTENT GROUPS OF EXPONENT 8

Published online by Cambridge University Press:  25 September 2003

ALEXEI N. KRASILNIKOV
ALEXEI N. KRASILNIKOV
Affiliation:
Department of Mathematics, University of Brasília, 70910-900 Brasília-DF, [email protected]
Get access

Abstract

The first example of a non-finitely based variety of centre-by-abelian-by-nilpotent groups was found in 1995. This example has an infinite exponent but it can be seen that the method used to construct it also gives a variety that has an exponent of 128. Later it was proved that there exists a variety with similar properties but with an exponent of 32. The paper constructs a non-finitely based variety of centre-by-abelian-by-nilpotent groups which has an exponent of 8.

Keywords

20E10
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 371 - 382
Copyright
The London Mathematical Society 2003

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.)