Geodesic
Subgroups of a Finite Group Commuting with Biprimary Subgroups
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 524-529

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The solvability of $H/H_G$ is established under the assumption that a subgroup $H$ of a finite group $G$ commutes with all biprimary subgroups of even order.
Keywords: finite group, biprimary subgroup, core of a subgroup, Sylow subgroup, dispersive subgroup, formation of groups.
Mots-clés : solvable finite group, Frobenius group 
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     author = {V. N. Knyagina and V. S. Monakhov},
     title = {Subgroups of a {Finite} {Group} {Commuting} with {Biprimary} {Subgroups}},
     journal = {Matemati\v{c}eskie zametki},
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V. N. Knyagina; V. S. Monakhov. Subgroups of a Finite Group Commuting with Biprimary Subgroups. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 524-529. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a4/