Right Engel elements of stability groups of general series in vector spaces
Wehrfritz, B. A. F. (Queen Mary University of London. School of Mathematical Sciences)

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

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/316087
DOI: 10.5565/PUBLMAT_61117_11

7 p, 280.7 KB

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