Geodesic
On Hall subgroups of finite groups
Problemy fiziki, matematiki i tehniki, no. 2 (2016), pp. 42-44

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Let $G$ be a finite group and $H$ a subgroup of $G$. Then $H$ is said to be $\tau$-quasinormal in $G$ if $H$ permutes with all Sylow subgroups $\mathcal{Q}$ of $G$ such that $(|H|, |\mathcal{Q}|)=1$ and $(|H|, |\mathcal{Q}^G|)\ne1$. A generalization of Schur–Zassenhaus Theorem in terms of $\tau$-quasinormal subgroups is obtained.
Keywords: $\tau$-quasinormal subgroup, Sylow subgroup, Hall subgroup
Mots-clés : soluble group. 
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     author = {V. O. Lukyanenko},
     title = {On {Hall} subgroups of finite groups},
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     pages = {42--44},
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     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_2_a6/}
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V. O. Lukyanenko. On Hall subgroups of finite groups. Problemy fiziki, matematiki i tehniki, no. 2 (2016), pp. 42-44. http://geodesic.mathdoc.fr/item/PFMT_2016_2_a6/