IJPAM: Volume 86, No. 3 (2013)

A PRESENTATION OF Mn,m

Gülistan Kaya Gök
Department of Mathematics
Çukurova University
Adana, TURKEY


Abstract. Let Mn,m be a free metabelian nilpotent Lie algebra of rank n and nilpotency class m-1. We show that Mn,m admits a minimal presentation whose set of defining relators is the set of all basic commutators of length m.

Received: March 12, 2013

AMS Subject Classification: 17B01

Key Words and Phrases: free metabelian nilpotent Lie algebra, presentation

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DOI: 10.12732/ijpam.v86i3.5 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 86
Issue: 3