Fitting classes with given properties of Hall subgroups

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DC Field	Value	Language
dc.contributor.author	Zagurskii, V. N.	-
dc.contributor.author	Vorob’ev, N. T.	-
dc.date.accessioned	2022-06-20T10:55:24Z	-
dc.date.available	2022-06-20T10:55:24Z	-
dc.date.issued	2005	-
dc.identifier.citation	Zagurskii, V. N. Fitting classes with given properties of Hall subgroups / V. N. Zagurskii, N. T. Vorob’ev // Mathematical Notes. – 2005. – Vol. 78, № 1-2. – Р. 213–218.	ru_RU
dc.identifier.issn	0001-4346	-
dc.identifier.uri	https://rep.vsu.by/handle/123456789/33240	-
dc.description.abstract	In the theory of formations of finite solvable groups, there is a well-known result due to Blessenohl claiming that, for any local formation F, the class of groups for which every Hall π -subgroup belongs to F also is a local formation. In the present paper, we obtain a result exactly dual to that indicated in the theory of Fitting classes. We prove that if a Fitting class F is local, then the class of all groups all of whose Hall π -subgroups belong to F is also local.	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	Pleiades Publishing, Ltd.	ru_RU
dc.relation.ispartofseries	Mathematical Notes;Vol. 78, № 1/2	-
dc.subject	Hall subgroup	ru_RU
dc.subject	formation of finite groups	ru_RU
dc.subject	local formation	ru_RU
dc.subject	Fitting class	ru_RU
dc.subject	Hartley function	ru_RU
dc.subject	Lockett class	ru_RU
dc.subject	Sylow subgroup	ru_RU
dc.title	Fitting classes with given properties of Hall subgroups	ru_RU
dc.type	Article	ru_RU
Appears in Collections:	Научные публикации (2005)