Groups nearly of prime exponent and nearly Engel Lie algebras View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1998-07

AUTHORS

Avinoam Mann, Consuelo Martinez

ABSTRACT

The aim of this note is to prove that if L is a finite Lie algebra and the probability for a random pair of elements to satisfy the Engel identity En is big enough, then L satisfies the Engel identity En. We also show that if many elements of a finite p-group G have order p, then the associated Lie algebra L(G) satisfies the Engel identity Ep-1. Finally, we improve a little previous results. More... »

PAGES

5-11

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s000130050227

DOI

http://dx.doi.org/10.1007/s000130050227

DIMENSIONS

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