Problems related to the Lockett Conjecture on Fitting classes

Vorob`ev, N. T.; Wenbin, Guo

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

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DC Field	Value	Language
dc.contributor.author	Vorob`ev, N. T.	-
dc.contributor.author	Wenbin, Guo	-
dc.date.accessioned	2022-06-20T11:33:12Z	-
dc.date.available	2022-06-20T11:33:12Z	-
dc.date.issued	2008	-
dc.identifier.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.	ru_RU
dc.identifier.issn	0019-3577	-
dc.identifier.uri	https://rep.vsu.by/handle/123456789/33246	-
dc.description.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.	ru_RU
dc.description.sponsorship	MSC: 20DlO Key words andphrases: Fitting classes, Partially local Fitting classes, Lockett classes, Lockett conjecture "" W. Guo was supported by a NNSF grant of China (#10771180). K.P. Shum was partially supported by a RGC(HK) grant #2160297 (2005/2007). E-mails:wbguo@xznu.edu.cn(W.Guo).kpshum@math.cuhk.edu.hk (K.P. Shum), nicholas@vsu.by (N.T. Vorob'ev).	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	Elsevier Science Publishing Company, Inc.	ru_RU
dc.relation.ispartofseries	Indagationes Mathematicae;Vol. 19, № 3.	-
dc.subject	Fitting classes	ru_RU
dc.subject	Partially local Fitting classes	ru_RU
dc.subject	Lockett classes	ru_RU
dc.subject	Lockett conjecture	ru_RU
dc.title	Problems related to the Lockett Conjecture on Fitting classes	ru_RU
dc.type	Article	ru_RU
Appears in Collections:	Научные публикации (2008)