Hartley Sets and Injectors of a Finite Group

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Title:	Hartley Sets and Injectors of a Finite Group
Authors:	Vorob’ev, N. T. Karaulova, T. B.
Keywords:	finite group injector Fitting set π-solvable group
Issue Date:	2019
Publisher:	Mathematical Notes, Pleiades Publishing, Ltd.
Citation:	Vorob`ev, N. T. Hartley sets and injectors of a finite group / N. T. Vorob`ev, T. B. Karaulova // Mathematical Notes. – 2019. – Vol. 105, № 1-2. – Р. 204–215.
Abstract:	By a Fitting set of a group G one means a nonempty set of subgroups F of a finite group G which is closed under taking normal subgroups, their products, and conjugations of subgroups. In the present paper, the existence and conjugacy of F-injectors of a partially π-solvable group G is proved and the structure of F-injectors is described for the case in which F is a Hartley set of G.
URI:	https://rep.vsu.by/handle/123456789/24530
ISSN:	0001-4346
Appears in Collections:	Научные публикации (2019)