New characterizations of a normal subgroup to be hypercyclically embedded
Abstract
A normal subgroup E of a group G is said to be hypercyclically embedded in G if either E=1 or E≠ 1 and every chief factor of G below E is cyclic. In this article, we present some new characterizations of a normal subgroup to be hypercyclically embedded. Some recent results in this literature are generalized and unified.
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