F-projectors and F-covering subgroups of finite groups

Vedernikov V A<sup>*</sup>; Sorokina M M

doi:10.1134/S0037446616060033

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F-projectors and F-covering subgroups of finite groups

作者：Vedernikov V A^*; Sorokina M M

来源：Siberian Mathematical Journal, 2016, 57(6): 957-968.

DOI：10.1134/S0037446616060033

摘要

Given a nonempty set omega of primes and a nonempty class F of groups, we define the F (omega) - projector and F (omega) -covering subgroup of a finite group and study their properties (existence, invariance under certain homomorphisms, conjugacy, and embedding). We extend the results of GaschAutz, Schunck, Erickson, and others.