A Bound for the Nilpotency Class of a Lie Algebra

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Abstract:

In the present paper, we prove that if L is a nilpotent Lie algebra whose proper subalge- bras are all nilpotent of class at most n, then the class of L is at most bnd=(d 1)c, where b c denotes the integral part and d is the minimal number of generators of L.

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Journal title

volume 14  issue 2

pages  153- 156

publication date 2019-10

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