Geodesic
Simple non abelian group with $D_\pi$ Schmidt subgroups
Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 95-98

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Let $G$ be a finite simple group, $S$ be its Hall Schmidt $\pi$-subgroup. If $2\in\pi$ then $G$ is not a $D_\pi$-group. If $2\notin\pi$ and $G\notin\{A_n(q),^2 A_n(q)\}$ then $G$ is a $D_\pi$-group.
Mots-clés : group, simple group, $D_\pi$-group.
Keywords: subgroup, Hall Schmidt $\pi$-subgroup 
@article{PFMT_2012_2_a15,
     author = {V. N. Tyutyanov and P. V. Bychkov},
     title = {Simple non abelian group with $D_\pi$ {Schmidt} subgroups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {95--98},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_2_a15/}
}
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V. N. Tyutyanov; P. V. Bychkov. Simple non abelian group with $D_\pi$ Schmidt subgroups. Problemy fiziki, matematiki i tehniki, no. 2 (2012), pp. 95-98. http://geodesic.mathdoc.fr/item/PFMT_2012_2_a15/