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Intersection of functorial subgroups in finite groups

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Abstract

Intersections of given maximal subgroups of finite groups are studied. General properties of the generalized Frattini subgroup are established with the help of functorial methods.

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References

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Original Russian Text © R.V. Borodich and O.A. Shpyrko, 2011, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2011, Vol. 66, No. 5, pp. 3–6.

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Borodich, R.V., Shpyrko, O.A. Intersection of functorial subgroups in finite groups. Moscow Univ. Math. Bull. 66, 185–188 (2011). https://doi.org/10.3103/S0027132211050019

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  • DOI: https://doi.org/10.3103/S0027132211050019

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