Finite groups with seminormal Sylow subgroups.
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 of \(G\) is \(q\)-supersoluble for some \(q\in\pi\), then \(G\) is \(q\)-supersoluble. As Michael C. Slattery wrote in his review of this paper for the Mathematical Reviews, the results all seem to follow from the nice and interesting results in [\textit{V. S. Monakhov}, Mat. Zametki 80, No. 4, 573-581 (2006; Zbl 1128.20011)], which is not cited. Furthermore, the wording, sentence structure, paragraph structure and theorem statements in Guo's paper are very similar to those in Monakhov's paper. In fact, the results of Monakhov are more general since he deals with Hall subgroups.
scientific article; zbMATH DE number 5366767