科研之友
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摘要
A normal subgroup K of a finite group G is said to be hypercyclically embedded in G if every chief factor of G below K is cyclic. A subgroup H has the cover-avoidance property in G if H either covers or avoids every chief factor of G. In this paper we connect these two concepts and give a new characterization of normal hypercyclically embedded subgroups. Our main result is that a normal subgroup K is hypercyclically embedded in G if and only if the members of a certain class of subgroups of K have the cover-avoidance property in G.
- 出版日期2013-3
- 单位中山大学
