Geodesic
On a Class of Groups with Given Cofactors of Maximal Subgroups
Matematičeskie zametki, Tome 87 (2010) no. 5, pp. 643-649

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The paper is devoted to the solution of the general problem of describing finite solvable groups all of whose cofactors of maximal subgroups belong to a given class $\mathfrak X$ of groups. The cases in which $\mathfrak X$ is a homomorph, a Schunk class, and a formation are treated separately. The approach suggested here is related to the construction of a local Schunk class defined by using a constant group function.
Keywords: maximal subgroup, cofactor, Schunk class, primitive group, non-Frattini chief factor.
Mots-clés : finite solvable group, homomorph, formation 
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     author = {L. P. Avdashkova and S. F. Kamornikov},
     title = {On a {Class} of {Groups} with {Given} {Cofactors} of {Maximal} {Subgroups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {643--649},
     publisher = {mathdoc},
     volume = {87},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_87_5_a0/}
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L. P. Avdashkova; S. F. Kamornikov. On a Class of Groups with Given Cofactors of Maximal Subgroups. Matematičeskie zametki, Tome 87 (2010) no. 5, pp. 643-649. http://geodesic.mathdoc.fr/item/MZM_2010_87_5_a0/