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CENTRALISER DIMENSION OF FREE PARTIALLY COMMUTATIVE NILPOTENT GROUPS OF CLASS 2

Published online by Cambridge University Press:  01 May 2008

VIKKI A. BLATHERWICK
VIKKI A. BLATHERWICK*
Affiliation:
School of Mathematics and Statistics Newcastle University, Newcastle-upon-tyne, NE1 7RU e-mail: v.a.blatherwick@newcastle.ac.uk
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Abstract

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In an effort to extend the theory of algebraic geometry over groups beyond free groups, Duncan, Kazatchkov and Remeslennikov have studied the notion of centraliser dimension for free partially commutative groups. In this paper we consider the centraliser dimension of free partially commutative nilpotent groups of class 2, showing that a free partially commutative nilpotent group of class 2 with non-commutation graph Γ has the same centraliser dimension as the free partially commutative group represented by the non-commutation graph Γ.

Keywords

Primary 20F1820F36
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 2 , May 2008 , pp. 251 - 269
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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