On the permutability of sylow subgroups with Schmidt subgroups |
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| Authors: | V N Knyagina V S Monakhov |
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| Institution: | 1.Gomel Engineering Institute of the Ministry for Emergency Situations of the Republic of Belarus,Gomel,Belarus;2.Skorina Gomel State University,Gomel,Belarus |
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| Abstract: | A Schmidt group is a finite nonnilpotent group in which every proper subgroup is nilpotent. Sufficient conditions are established for the p-solvability of a finite group in which a Sylow p-subgroup is permutable with some Schmidt subgroups. Sufficient conditions for the solvability of a finite group in which some Schmidt subgroups are permutable are also obtained. |
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