两种广义的Frattini子群

西南大学学报（自然科学版）

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两种广义的Frattini子群

张志让,韩雪. 两种广义的Frattini子群[J]. 西南大学学报（自然科学版）, 2007, 29(10).

引用本文:

张志让,韩雪. 两种广义的Frattini子群[J]. 西南大学学报（自然科学版）, 2007, 29(10).

On Two Types of Frattini-like Subgroups[J]. Journal of Southwest University Natural Science Edition, 2007, 29(10).

Citation:

On Two Types of Frattini-like Subgroups[J]. Journal of Southwest University Natural Science Edition, 2007, 29(10).

摘要: 研究了指数为π-数的极大正规子群的交及指数为π-数的极大特征子群的交这两种广义的Frattini子群, 即πn Frat(G)和πc Frat(G), 得到了与Frattini子群类似的性质.
- Frattini子群,πn-非生成元,πc-非生成元,Dedekind群
Abstract: This paper investigates two characteristic subgroups, πn Frat(G) and πc Frat(G), which are defined as the intersection of maximal normal subgroups with index a π-number and the intersection of maximal characteristic subgroups with index a π-number of G, respectively. The properties of πn Frat(G) and πc Frat(G) are discussed.