منابع مشابه
On the norm of the derived subgroups of all subgroups of a finite group
In this paper, we give a complete proof of Theorem 4.1(ii) and a new elementary proof of Theorem 4.1(i) in [Li and Shen, On the intersection of the normalizers of the derived subgroups of all subgroups of a finite group, J. Algebra, 323 (2010) 1349--1357]. In addition, we also give a generalization of Baer's Theorem.
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What ingredients are necessary to describe all maximal subgroups of the general finite group G? This paper is concerned with providing such an analysis. A good first reduction is to take into account the first isomorphism theorem, which tells us that the maximal subgroups containing a given normal subgroup N of G correspond, under the natural projection, to the maximal subgroups of the quotient...
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Let $G$ be a group and $H$ a subgroup of $G$. $H$ is said to have semi-$Pi$-property in $G$ if there is a subgroup $T$ of $G$ such that $G=HT$ and $Hcap T$ has $Pi$-property in $T$. In this paper, investigating on semi-$Pi$-property of subgroups, we shall obtain some new description of finite groups.
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1941
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.27.4.212