The Character Tables for SL(3, q), SU(3, q 2), PSL(3, q), PSU(3, q 2)
The Character Tables for SL(3, q), SU(3, q 2), PSL(3, q), PSU(3, q 2)
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DOI：
10.4153/cjm-1973-049-7
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发表时间：
1973-06
期刊：
影响因子：
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通讯作者：
William A. Simpson;J. Sutherland Frame
中科院分区：
文献类型：
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作者：
William A. Simpson;J. Sutherland Frame
本文利用GF(q) （GF(q2)）上所有非奇异n × n（酉）矩阵的群GL(3, q) （U(3, q2)）的特征表，分别得到了相关子群SL（3, q）、PSL(3, q) （SU（3, q2）、PSU(3, q2)）、行列式单位矩阵的相应群和投影群的特征表。很少有抽象的字符表可以容纳整个组族。这些表格比特定群体的表格有更大的价值，因为除其他外，它们使人们能够辨别出整个家庭共有的各种模式。
In this paper the character table of GL(3, q) (U(3, q2)), the group of all nonsingular n × n (unitary) matrices over GF(q) (GF(q2)), is used to obtain the character tables for the related subgroups SL(3, q), PSL(3, q) (SU(3, q2), PSU(3, q2)), the corresponding groups of matrices of determinant unity and the projective group respectively. There are very few abstract character tables which hold for entire families of groups. Such tables are of much greater value than tables for specific groups because, among other things, they enable one to discern various patterns common to the whole family.