Right Engel elements of stability groups of general series in vector spaces

Autores: B. A. F. Wehrfritz
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 61, Nº 1, 2017, págs. 283-289
Idioma: inglés
DOI: 10.5565/10.5565_PUBLMAT 61117 11
Enlaces
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Resumen
- Let V be an arbitrary vector space over some division ring D, L a general series of subspaces of V covering all of V \ {0} and S the full stability subgroup of L in GL(V). We prove that always the set of bounded right Engel elements of S is equal to the w-th term of the upper central series of S and that the set of right Engel elements of S is frequently equal to the hypercentre of S.