Výsledky vyhledávání - "A. T. Vorob'ev"

On the dual theory of a result of Bryce and Cossey

Autor: Baojun Li, Nanying Yang, N. T. Vorob’ev

Publikováno v: Journal of Algebra. 522:124-133

In the theory of formations of finite soluble groups, a well known result of Bryce and Cossey is: a local formation F is a Fitting class if and only if every value of the canonical formation function F of F is a Fitting class. In this paper, we give

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29aa9fc59922a9f3340c13086ad0b6e2
https://doi.org/10.1016/j.jalgebra.2018.12.009

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Hartley Sets and Injectors of a Finite Group

Autor: N. T. Vorob’ev, T. B. Karaulova

Publikováno v: Mathematical Notes. 105:204-215

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::064996904b1105c370f8c49580b92d02
https://doi.org/10.1134/s0001434619010231

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On Injectors of a Hartley Set of a Finite Group

Autor: Nanying Yang, T. B. Vasilevich, N. T. Vorob'ev

Publikováno v: Algebra Colloquium. 25:671-680

Let G be a finite group and [Formula: see text] be a Hartley set of G. In this paper, we prove the existence and conjugacy of [Formula: see text]-injectors of G and describe the characterization of injectors via radicals. As applications, some known

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d149539ec91af931f84bbc5383eed6c
https://doi.org/10.1142/s1005386718000470

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On σ-local Fitting classes

Autor: N. T. Vorob’ev, Li Zhang, Wenbin Guo

Let σ be a partition of the set of all primes P . If G is a finite group and F is a Fitting class of finite groups, the symbol σ ( G ) denotes the set { σ i | σ i ∩ π ( | G | ) ≠ ∅ } and σ ( F ) = ∪ σ ∈ F σ ( G ) . We call any funct

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40c05856c4792aee843da16d92be3a5d
https://rep.vsu.by/handle/123456789/33410

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On ℱ-injectors of fitting set of a finite group

Autor: Wenbin Guo, Nanying Yang, N. T. Vorob’ev

Publikováno v: Communications in Algebra. 46:217-229

Let G be some generalized π-soluble groups and ℱ be a Fitting set of G. In this paper, we prove the existence and conjugacy of ℱ-injectors of G and give a description of the structure of the injectors.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c6ccf6a9d22c7b7f9ea9f2dad99752fa
https://doi.org/10.1080/00927872.2017.1319475

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