Abstract
By a Fitting set of a group G one means a nonempty set of subgroups \(\mathscr{F}\) of a finite group G which is closed under taking normal subgroups, their products, and conjugations of subgroups. In the present paper, the existence and conjugacy of \(\mathscr{F}\) -injectors of a partially π-solvable group G is proved and the structure of \(\mathscr{F}\)-injectors is described for the case in which \(\mathscr{F}\) is a Hartley set of G.
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Russian Text © N. T. Vorob’ev, T. B. Karaulova, 2019, published in Matematicheskie Zametki, 2019, Vol. 105, No. 2, pp. 214–227.
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Vorob’ev, N.T., Karaulova, T.B. Hartley Sets and Injectors of a Finite Group. Math Notes 105, 204–215 (2019). https://doi.org/10.1134/S0001434619010231
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DOI: https://doi.org/10.1134/S0001434619010231