Geodesic
Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 178-187

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We obtain a description of nonabelian composition factors of a finite nonsolvable group in which any maximal subgroup of odd index is a Hall subgroup.
Keywords: finite group, maximal subgroup, Hall subgroup, composition factor, odd index. 
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     author = {N. V. Maslova and D. O. Revin},
     title = {Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are {Hall} subgroups},
     journal = {Trudy Instituta matematiki i mehaniki},
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N. V. Maslova; D. O. Revin. Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 178-187. http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a17/