GROUPS NEARLY OF PRIME EXPONENT AND NEARLY ENGEL LIE-ALGEBRAS

Authors
MANN A MARTINEZ C
Citation
A. Mann et C. Martinez, GROUPS NEARLY OF PRIME EXPONENT AND NEARLY ENGEL LIE-ALGEBRAS, Archiv der Mathematik, 71(1), 1998, pp. 5-11
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Archiv der Mathematik → ACNP
ISSN journal
0003889X
Volume
71
Issue
1
Year of publication
1998
Pages
5 - 11
Database
ISI
SICI code
0003-889X(1998)71:1<5:GNOPEA>2.0.ZU;2-H
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 id entity E-n is big enough, then L satisfies the Engel identity E-n.. We also show that if many elements of a finite p-group G have order p, t hen the associated Lie algebra L(G) satisfies the Engel identity Ep-1. Finally, we improve a little previous results.