Injectors in Fitting sets of finite groups

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DC Field	Value	Language
dc.contributor.author	Vorobev, N. T.	-
dc.contributor.author	Semenov, M. G.	-
dc.date.accessioned	2022-06-27T09:37:13Z	-
dc.date.available	2022-06-27T09:37:13Z	-
dc.date.issued	2015	-
dc.identifier.citation	Vorobev, N. T. Injectors in Fitting sets of finite groups / N. T. Vorobev, M. G. Semenov // Mathematical Notes. – 2015. – Vol. 97, № 3/4. – P. 521–530. – DOI: 10.1134/S0001434615030244.	ru_RU
dc.identifier.issn	0001-4346	-
dc.identifier.uri	https://rep.vsu.by/handle/123456789/33401	-
dc.description.abstract	A set of subgroups F of a finite group G is referred to as a Fitting set if it is closed with respect to taking normal subgroups, products of normal F-subgroups, and inner automorphisms of G. A Fitting set F of a group G is said to be π-saturated if H ∈ F for every subgroup H in G such that Oπ (H) ∈ F. In the paper, it is proved that, if F is a π-saturated Fitting set of a π-solvable group G, then there are F-injectors in G and every two of them are conjugate.	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	Pleiades Publishing, Ltd.	ru_RU
dc.relation.ispartofseries	Mathematical Notes;Vol. 97, № 3/4	-
dc.subject	finite group	ru_RU
dc.subject	Fitting set	ru_RU
dc.subject	π-solvable group	ru_RU
dc.subject	π-saturated Fitting set	ru_RU
dc.title	Injectors in Fitting sets of finite groups	ru_RU
dc.type	Article	ru_RU
Appears in Collections:	Научные публикации (2015)