Maximal subclasses of local fitting classes

Savelyeva, N. V.; Vorob’ev, N. T.

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Поле DC	Значение	Язык
dc.contributor.author	Savelyeva, N. V.	-
dc.contributor.author	Vorob’ev, N. T.	-
dc.date.accessioned	2022-06-20T12:08:23Z	-
dc.date.available	2022-06-20T12:08:23Z	-
dc.date.issued	2008	-
dc.identifier.citation	Savelyeva, N. V. Maximal subclasses of local fitting classes / N. V. Savelyeva, N. T. Vorob’ev // Siberian Mathematical Journal. – 2008. – Vol. 49, № 6. – Р. 1124–1130.	ru_RU
dc.identifier.issn	0037-4466	-
dc.identifier.uri	https://rep.vsu.by/handle/123456789/33249	-
dc.description.abstract	A Fitting class F is said to be π-maximal if F is an inclusion maximal subclass of the Fitting class Sπ of all finite soluble π-groups. We prove that F is a π-maximal Fitting class exactly when there is a prime p ∈ π such that the index of the F-radical GF in G is equal to 1 or p for every π-subgroup of G. Hence, there exist maximal subclasses in a local Fitting class. This gives a negative answer to Skiba’s conjecture that there are no maximal Fitting subclasses in a local Fitting class.	ru_RU
dc.language.iso	en	ru_RU
dc.publisher	Pleiades Publishing, Ltd.	ru_RU
dc.relation.ispartofseries	Siberian Mathematical Journal;Vol. 49, № 6	-
dc.subject	Fitting class	ru_RU
dc.subject	maximal Fitting subclass	ru_RU
dc.subject	local Fitting class	ru_RU
dc.subject	F-radical, Lockett class	ru_RU
dc.subject	Lausch group	ru_RU
dc.subject	Fitting pair	ru_RU
dc.title	Maximal subclasses of local fitting classes	ru_RU
dc.type	Article	ru_RU
Располагается в коллекциях:	Научные публикации (2008)