$On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups$

On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups

Let $G$ be a finite group and $P$ be a $p$-subgroup of $G$. If $P$ is a Sylow subgroup of some normal subgroup of $G$, then we say that $P$ is normally embedded in $G$. Groups with normally embedded maximal subgroups of Sylow $p$-subgroup, where ${(|G|, p-1)=1}$, are studied. In...

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Бібліографічні деталі
Дата:	2020
Автор:	Trofimuk, A.
Формат:	Стаття
Мова:	English
Опубліковано:	Lugansk National Taras Shevchenko University 2020
Теми:	$p$-supersolvable group normally embedded subgroup maximal subgroup Sylow subgroup 20D10
Онлайн доступ:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1128
Теги:	Додати тег Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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Резюме:	Let $G$ be a finite group and $P$ be a $p$-subgroup of $G$. If $P$ is a Sylow subgroup of some normal subgroup of $G$, then we say that $P$ is normally embedded in $G$. Groups with normally embedded maximal subgroups of Sylow $p$-subgroup, where ${(\|G\|, p-1)=1}$, are studied. In particular, the $p$-nilpotency of such groups is proved.

On \(p\)-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups

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