群的融合自由积的πn-Frattini子群和πc-Frattini子群

数学物理学报 ›› 2013, Vol. 33 ›› Issue (1): 123-126.

群的融合自由积的πn-Frattini子群和πc-Frattini子群

张志让|邓理平|和佩佩

成都信息工程学院数学学院 |成都 |610225

收稿日期:2011-06-13 修回日期:2012-08-19 出版日期:2013-02-25 发布日期:2013-02-25
基金资助:
国家自然科学基金(11071229)资助

πnFrattini Subgroups and πcFrattini Subgroups of Amalgamated Free Products of Groups

ZHANG Zhi-Rang, DENG Li-Ping, HE Pei-Pei

College of Mathematics, Chengdu University of Information Technology, Chengdu 610225

Received:2011-06-13 Revised:2012-08-19 Online:2013-02-25 Published:2013-02-25
Supported by:
国家自然科学基金(11071229)资助

摘要/Abstract

摘要：

Azarian M K 将Tang C Y 得到的关于两个群的带循环融合自由积的Frattini子群的一个定理推广到任意多个子群的带循环融合自由积的情况. 通过考虑任意多个子群的带循环融合自由积的πnFrattini子群和πcFrattini子群, 得到了类似的结果.

关键词: πnFrattini子群, πcFrattini子群, 群的融合自由积

Abstract:

Azarian M K generalizes the theorem on Frattini subgroups of amalgamated free products of two subgroups proposed by Tang C Y to the case of the free product of any set of subgroups with amalgamated subgroup. We consider πnFrattini subgroups and πcFrattini subgroups of the free product of any set of subgroups with amalgmated subgroup being a cyclic group and obtain similar results.

Key words: πnFrattini subgroups, πcFrattini subgroups, Amalgamated free products of groups

中图分类号:

20D25

张志让, 邓理平, 和佩佩. 群的融合自由积的πn-Frattini子群和πc-Frattini子群[J]. 数学物理学报, 2013, 33(1): 123-126.

ZHANG Zhi-Rang, DENG Li-Ping, HE Pei-Pei. πnFrattini Subgroups and πcFrattini Subgroups of Amalgamated Free Products of Groups[J]. Acta mathematica scientia,Series A, 2013, 33(1): 123-126.