IJPAM: Volume 84, No. 1 (2013)

A PRESENTATION OF M2,5

Gülistan Kaya Gök
Department of Mathematics
Çukurova University
Adana, TURKEY


Abstract. Let M2,5 be a free metabelian nilpotent Lie algebra of rank 2 and nilpotency class 4. We show that M2,5 admits a minimal presentation whose set of defining relators is the set of all basic commutators of length 5.

Received: November 22, 2012

AMS Subject Classification: 17B01

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

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DOI: 10.12732/ijpam.v84i1.6 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: 84
Issue: 1