Výsledky vyhledávání - "Safonova, Inna N."

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Finite groups in which generalized normality is a transitive relation

Autor: Safonova, Inna N., Skiba, Alexander N.

In this paper, we discuss some well-known results and some open problems of the theory of $\sigma$-properties of a group related to the study of generalized $T$-groups.
Comment: arXiv admin note: text overlap with arXiv:1709.06423, arXiv:1704.02

Externí odkaz: http://arxiv.org/abs/2302.13250

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On $\tau$-closed $n$-multiply $\sigma$-local formations of finite groups

Autor: Safonova, Inna N.

All groups under consideration are finite. Let $\sigma =\{\sigma_i \mid i\in I \}$ be some partition of the set of $\mathbb{P}$, $G$ be a group, and $\mathfrak F$ be a class of groups. Then $\sigma (G)=\{\sigma_i\mid \sigma_i\cap \pi (G)\ne \emptyset

Externí odkaz: http://arxiv.org/abs/2105.00430

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A $G$-covering subgroup system of a finite group for some classes of $\sigma$-soluble groups

Autor: Liu, A-Ming, Guo, W., Safonova, Inna N., Skiba, Alexander N.

Let ${\frak F}$ be a class of group and $G$ a finite group. Then a set $\Sigma $ of subgroups of $G$ is called a \emph{$G$-covering subgroup system} for the class ${\frak F}$ if $G\in {\frak F}$ whenever $\Sigma \subseteq {\frak F}$. We prove that: {

Externí odkaz: http://arxiv.org/abs/2101.00247

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