Home > Articles > Published articles > Right Engel elements of stability groups of general series in vector spaces |
Date: | 2017 |
Abstract: | 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. |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Subject: | Engel elements ; Linear groups ; Stability groups |
Published in: | Publicacions matemàtiques, Vol. 61 Núm. 1 (2017) , p. 283-289 (Articles) , ISSN 2014-4350 |
7 p, 280.7 KB |