Hartley Sets and Injectors of a Finite Group

Autor:	N. T. Vorob’ev, T. B. Karaulova
Rok vydání:	2019
Předmět:	Normal subgroup Finite group injector Group (mathematics) General Mathematics Structure (category theory) Mathematics::General Topology Fitting set Combinatorics Set (abstract data type) Mathematics::Group Theory Conjugacy class finite group π-solvable group Mathematics
Zdroj:	Mathematical Notes. 105:204-215
ISSN:	1573-8876 0001-4346
DOI:	10.1134/s0001434619010231
Popis:	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. 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::064996904b1105c370f8c49580b92d02 https://doi.org/10.1134/s0001434619010231 Zobrazit plný text záznamu Plný text ve formátu PDF