摘要
考虑到四元数群Q8和同阶的二面体群D8有许多相似的结构性质,对广义四元数群Q4m和同阶的二面体群D2n做了相应的推广.在分析群结构的基础上,主要讨论了广义四元数群和同阶的二面体群的常特征标表,指出满足一定条件的广义四元数群和同阶的二面体群有相同的特征标表.
Considering many similar properties in the quaternion group Q8 and the dihedral group D8, the generalized quaternion group Q4m and same-order dihedral group D2. are extended accordingly. After analyzing the structure of the finite group, the character tables of generalized quaternion group and same-order dihedral group are discussed, which have the same table under certain conditions.
出处
《中北大学学报（自然科学版）》
CAS
2008年第1期1-3,共3页
Journal of North University of China(Natural Science Edition)
关键词
有限群
特征标
不可约特征标
群作用
finite group
character
irreducible character
action of group
