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On Supersolubility of a Group with Seminormal Subgroups
Siberian Mathematical Journal, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Supersolvable Residual of a Finite Group Factorized by Pairwise Permutable Seminormal Subgroups
Algebra and Logic, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the supersolubility of a finite group factorized into pairwise permutable seminormal subgroups
Colloquium Mathematicum, 2021A 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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Finite groups with seminormal Schmidt subgroups
Algebra and Logic, 2007Summary: A non-nilpotent finite group whose proper subgroups are all nilpotent is called a Shmidt group. A subgroup \(A\) is said to be seminormal in a group \(G\) if there exists a subgroup \(B\) such that \(G=AB\) and \(AB_1\) is a proper subgroup of \(G\), for every proper subgroup \(B_1\) of \(B\). Groups that contain seminormal Shmidt subgroups of
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Finite groups with a seminormal Hall subgroup
Mathematical Notes, 2006The 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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