理论数学

Vol.2 No.1 (January 2012)

相对M-特征标的替换引理
The Replacement Lemma on Relative M-Characters

 

作者:

郝成功 , 靳平

 

关键词:

M-特征标M-群相对M-特征标相对M-群亚交换群M-Character M-Group Relative M-Character Relative M-Group Meta-Commutative Group

 

摘要:

本文主要目的是将M-特征标的替换引理推广到相对M-特征标的情形,证明了如果 均为有限群G的正规子群使得K/L为奇数阶交换群,则G的每个关于L的相对M-特征标也是关于K的相对M-特征标。特别地,如果G为M-群且K为G的一个奇数阶亚交换正规子群,则G也是关于K的相对M-群。

The main goal of the present paper is to generalize the replacement lemma on M-characters to the relative M-characters. It is proved that if are normal subgroups of a finite group G such that K/L is commutative of odd order, then every relative M-character of G with respect to L is also a relative M-character with respect to K. In particular, if G is an M-group with a meta-commutative normal subgroup K of odd order, then G is a relative M-group with respect to K.

文章引用:

郝成功 , 靳平 (2012) 相对M-特征标的替换引理。 理论数学, 2, 1-4. doi: 10.12677/pm.2012.21001

 

参考文献

分享
Top