Results 41 to 47 of about 494 (47)

The supersolvable residual of a finite group factorized by pairwise permutable seminormal subgroups

Algebra i logika, 2021
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On the supersolubility of a finite group factorized into pairwise permutable seminormal subgroups

Colloquium Mathematicum, 2021
A subgroup \(A\) of a finite group \(G\) is called seminormal in \(G\) if there exists a subgroup \(B\) such that \(G = AB\) and \(AX\) is a subgroup of \(G\) for every subgroup \(X\) of \(B.\) The author studies groups \(G = G_1 \cdots G_n\) with pairwise permutable subgroups \(G_1,\dots,G_n\) such that \(G_i\) and \(G_j\) are seminormal in \(G_iG_j\)
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On the Solvability of a Finite Group with S-Seminormal Schmidt Subgroups

Ukrainian Mathematical Journal, 2019
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Knyagina, V. N., Monakhov, V. S., Zubei, E. V.   +2 more
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Finite groups with seminormal Sylow subgroups

Acta Mathematica Sinica, English Series, 2008
The main result of this paper is the following: Let \(p\) be a prime number, \(P\) a Sylow \(p\)-subgroup of a group \(G\) and \(\pi=\pi(G)\setminus\{p\}\). If \(P\) is seminormal in \(G\), the following statements hold: (1) \(G\) is a \(p\)-soluble group and \(P'\leq O_p(G)\); (2) \(l_p(G)\leq 2\) and \(l_\pi(G)\leq 2\); (3) if a \(\pi\)-Hall subgroup
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Finite groups with a seminormal Hall subgroup

Mathematical Notes, 2006
The paper studies finite groups with a seminormal Hall subgroup. A subgroup \(H\) of a group \(G\) is said to be seminormal in \(G\) if there is a subgroup \(K\) in \(G\) such that \(HK=G\) and the product \(HK_1\) is a proper subgroup of \(G\) for any subgroup \(K_1\) of \(K\) which differs from \(K\). In this case, we refer to the subgroup \(K\) as a
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On \(s\)-seminormal subgroups of finite groups. I.

2003
Let \(G\) be a finite group and \(H\) a subgroup of \(G\). \(H\) is called \(s\)-seminormal in \(G\) if \(H\) permutes with all Sylow subgroup \(P\) of \(G\) where \((|P|,|H|)=1\). In this paper, the simple groups which contain a nontrivial \(s\)-seminormal subgroup are classified.
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Finite Groups with Given Systems of Conditionally Seminormal Subgroups

Lobachevskii Journal of Mathematics
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