Problems related to the Lockett Conjecture on Fitting classes

Please use this identifier to cite or link to this item: https://rep.vsu.by/handle/123456789/33246

Title:	Problems related to the Lockett Conjecture on Fitting classes
Authors:	Vorob`ev, N. T. Wenbin, Guo
Keywords:	Fitting classes Partially local Fitting classes Lockett classes Lockett conjecture
Issue Date:	2008
Publisher:	Elsevier Science Publishing Company, Inc.
Citation:	Vorob’ev, N. T. Problems related to the Lockett Conjecture on Fitting classes / N. T. Vorob’ev, Wenbin Guo // Indagationes Mathematicae. – 2008. – Vol. 19, № 3. – P. 391–399.
Series/Report no.:	Indagationes Mathematicae;Vol. 19, № 3.
Abstract:	The existence of a solvable non-normal Fitting class F which is not a Lockett class but for which the Lockett Conjecture still holds are studied. We also prove that there exists an ω-local Fitting class F which does not satisfy the Lockett conjecture but the Lockett conjecture still holds under a given condition. As a consequence of our result, a generalized version of the Lausch's problem in the well-known Kourovka Notebook is answered.
URI:	https://rep.vsu.by/handle/123456789/33246
ISSN:	0019-3577
Appears in Collections:	Научные публикации (2008)