Geodesic
On permutability of Sylow subgroups with Schmidt subgroups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 130-139
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A Schmidt group is a non-nilpotent group whose every proper subgroup is nilpotent. Sufficient conditions for $p$-solvability of finite group in which Sylow $p$-subgroup permutes with some Schmidt subgroups are established. Sufficient conditions for solvability of finite group whose some Schmidt subgroups are permutable are obtained.
Keywords: finite group, Schmidt subgroup, permutable subgroups.
Mots-clés : solvable group 
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V. N. Knyagina; V. S. Monakhov. On permutability of Sylow subgroups with Schmidt subgroups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 130-139. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a12/

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