Abstract
Given a nonempty set ω of primes and a nonempty class F of groups, we define the Fω- projector and Fω-covering subgroup of a finite group and study their properties (existence, invariance under certain homomorphisms, conjugacy, and embedding). We extend the results of Gasch¨utz, Schunck, Erickson, and others.
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Original Russian Text Copyright © 2016 Vedernikov V.A. and Sorokina M.M.
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Vedernikov, V.A., Sorokina, M.M. F-projectors and F-covering subgroups of finite groups. Sib Math J 57, 957–968 (2016). https://doi.org/10.1134/S0037446616060033
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DOI: https://doi.org/10.1134/S0037446616060033