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On injectors of Hartley set of a finite group

Autor: Yang, Nanying, Vorobev, N. T., Vasilevich, T. B.

Let G be a group and H be a Hartley set of G. In this paper, we prove the existence and conjugacy of H-injectors of G and describe the structure of the injectors. As application, some known results are directly followed.

Externí odkaz: http://arxiv.org/abs/1707.07805

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On F-injectors of Fitting set of a finite group

Autor: Yang, Nanying, Guo, Wenbin, Vorobev, N. T.

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

Externí odkaz: http://arxiv.org/abs/1702.03369

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On the problem of existence and conjugacy of injectors of generalized $\pi$-soluble groups

Autor: Yin, Xia, Yang, Nanying, Vorobev, N. T.

In this paper, we prove the existence and conjugacy of injectors of a generalized $\pi$-soluble groups for the Hartley class defined by a invariable Hartley function, and give a description of the structure of the injectors.

Externí odkaz: http://arxiv.org/abs/1702.03368

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On F-injectors of fitting set of a finite group

Autor: Yang, Nanying, Guo, Wenbin, Vorobev, N. T.

Yang, N. On F-injectors of fitting set of a finite group / Nanying Yang, W. Guo, N. T. Vorob’ev // Communications in Algebra. – 2018. – Vol. 46, № 1. – P. 217–229.
Let G be some generalized π-soluble groups and F be a Fitting set of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5523119ac3e5fa1caa9f0666077ed6e
https://lib.vsu.by/jspui/handle/123456789/24535

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