A characterization of the hypercyclically embedded subgroups of finite groups |
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Authors: | Alexander N. Skiba |
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Affiliation: | Department of Mathematics, Francisk Skorina Gomel State University, Gomel 246019, Belarus |
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Abstract: | A normal subgroup H of a finite group G is said to be hypercyclically embedded in G if every chief factor of G below H is cyclic. The major aim of the present paper is to characterize the normal hypercyclically embedded subgroups E of a group G by means of the embedding of the maximal and minimal subgroups of the Sylow subgroups of the generalized Fitting subgroup of E. |
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Keywords: | 20D10 20D15 |
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