$On minimal $\omega$-composition non-$\frak H$-formations$

On minimal $\omega$-composition non-$\frak H$-formations

Let $\frak{H}$ be some class of groups. A formation $\frak{F}$ is called a minimal $\tau$-closed $\omega$-composition non-$\frak{H}$-formation [1] if $\frak{F} \nsubseteq \frak{H}$ but $\frak{F}_1 \subseteq \frak{H}$ for all proper $\tau$-closed $\omega$-composition subformations \...

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Date:	2018
Main Authors:	Belous, Liudmila I., Selkin, Vadim M.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	formation $\tau$-closed $\omega$-composition satellite 20D20
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/903
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

id	oai:ojs.admjournal.luguniv.edu.ua:article-903
record_format	ojs
spelling	oai:ojs.admjournal.luguniv.edu.ua:article-9032018-03-21T07:55:00Z On minimal $\omega$-composition non-$\frak H$-formations Belous, Liudmila I. Selkin, Vadim M. formation, $\tau$-closed $\omega$-composition, satellite 20D20 Let $\frak{H}$ be some class of groups. A formation $\frak{F}$ is called a minimal $\tau$-closed $\omega$-composition non-$\frak{H}$-formation [1] if $\frak{F} \nsubseteq \frak{H}$ but $\frak{F}_1 \subseteq \frak{H}$ for all proper $\tau$-closed $\omega$-composition subformations $\frak{F}_1$ of $\frak{F}$. In this paper we describe the minimal $\tau$-closed $\omega$-composition non-$\frak{H}$-formations, where $\frak H$ is a $2$-multiply local formation and $\tau$ is a subgroup functor such that for any group $G$ all subgroups from $\tau(G)$ are subnormal in $G$. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/903 Algebra and Discrete Mathematics; Vol 5, No 4 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/903/432 Copyright (c) 2018 Algebra and Discrete Mathematics
institution	Algebra and Discrete Mathematics
baseUrl_str
datestamp_date	2018-03-21T07:55:00Z
collection	OJS
language	English
topic	formation $\tau$-closed $\omega$-composition satellite 20D20
spellingShingle	formation $\tau$-closed $\omega$-composition satellite 20D20 Belous, Liudmila I. Selkin, Vadim M. On minimal $\omega$-composition non-$\frak H$-formations
topic_facet	formation $\tau$-closed $\omega$-composition satellite 20D20
format	Article
author	Belous, Liudmila I. Selkin, Vadim M.
author_facet	Belous, Liudmila I. Selkin, Vadim M.
author_sort	Belous, Liudmila I.
title	On minimal $\omega$-composition non-$\frak H$-formations
title_short	On minimal $\omega$-composition non-$\frak H$-formations
title_full	On minimal $\omega$-composition non-$\frak H$-formations
title_fullStr	On minimal $\omega$-composition non-$\frak H$-formations
title_full_unstemmed	On minimal $\omega$-composition non-$\frak H$-formations
title_sort	on minimal $\omega$-composition non-$\frak h$-formations
description	Let $\frak{H}$ be some class of groups. A formation $\frak{F}$ is called a minimal $\tau$-closed $\omega$-composition non-$\frak{H}$-formation [1] if $\frak{F} \nsubseteq \frak{H}$ but $\frak{F}_1 \subseteq \frak{H}$ for all proper $\tau$-closed $\omega$-composition subformations $\frak{F}_1$ of $\frak{F}$. In this paper we describe the minimal $\tau$-closed $\omega$-composition non-$\frak{H}$-formations, where $\frak H$ is a $2$-multiply local formation and $\tau$ is a subgroup functor such that for any group $G$ all subgroups from $\tau(G)$ are subnormal in $G$.
publisher	Lugansk National Taras Shevchenko University
publishDate	2018
url	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/903
work_keys_str_mv	AT belousliudmilai onminimalomegacompositionnonfrakhformations AT selkinvadimm onminimalomegacompositionnonfrakhformations
first_indexed	2025-07-17T10:36:44Z
last_indexed	2025-07-17T10:36:44Z
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On minimal \(\omega\)-composition non-\(\frak H\)-formations

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