Abstract
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.
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Original Russian Text © L. P. Avdashkova, S. F. Kamornikov, 2010, published in Matematicheskie Zametki, 2010, Vol. 87, No. 5, pp. 643–649.
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Avdashkova, L.P., Kamornikov, S.F. On a class of groups with given cofactors of maximal subgroups. Math Notes 87, 601–607 (2010). https://doi.org/10.1134/S0001434610050019
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DOI: https://doi.org/10.1134/S0001434610050019