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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, Brazilalexei@mat.unb.br
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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

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