Geodesic
Maximal and Sylow Subgroups of Solvable Finite Groups
Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 603-612

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The structure of finite solvable groups in which any Sylow subgroup is the product of two cyclic subgroups is studied. In particular, it is proved that the nilpotent length of such a group is no greater than 4. It is also proved that the nilpotent length of a finite solvable group in which the index of any maximal subgroup is either a prime or the square of a prime or the cube of a prime does not exceed 5. 
@article{MZM_2001_70_4_a11,
     author = {V. S. Monakhov and E. E. Gribovskaya},
     title = {Maximal and {Sylow} {Subgroups} of {Solvable} {Finite} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {603--612},
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     number = {4},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a11/}
}
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V. S. Monakhov; E. E. Gribovskaya. Maximal and Sylow Subgroups of Solvable Finite Groups. Matematičeskie zametki, Tome 70 (2001) no. 4, pp. 603-612. http://geodesic.mathdoc.fr/item/MZM_2001_70_4_a11/