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A Note on FC-Groups

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Ukrainian Mathematical Journal Aims and scope

Abstract

Let G be an arbitrary FC-group, let R be its locally soluble radical, and let L/R = L(G/R). We prove that, for N ⊲ G, G/N is residually finite if R \(\subseteq\) N \(\subseteq\) L.

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REFERENCES

  1. N. S. Chernikov, “On socle and semisimple groups,” Ukr.Mat.Zh., 54, No. 6, 866–880 (2002).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    N. S. Chernikov

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  1. N. S. Chernikov
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Chernikov, N.S. A Note on FC-Groups. Ukrainian Mathematical Journal 55, 352–353 (2003). https://doi.org/10.1023/A:1025428732155

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  • DOI: https://doi.org/10.1023/A:1025428732155

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