Character Theory of Finite Groups
Character Theory of Finite Groups
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DOI：
10.1515/9783110809237
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发表时间：
1998-08
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影响因子：
--
通讯作者：
B. Huppert
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文献类型：
--
作者：
B. Huppert
本文从群论表示和表示模、单模和半单模、正交关系、阿贝尔群的群代数特征、不可约表示的次数、某些小群的特征、表示的乘积和群中解的个数gm =1的特征等几个方面，给出了A. Hurwitz关于乘性平方和置换表示和特征标类数真实的特征标和真实的表示互素作用群pa qb Fronebius群诱导特征标Brauer置换引理和Glauberman特征标对应Clifford理论1射影表示Clifford理论2特征标的扩展度模式和群结构环积特征标单名群表示p-的特征标群、特征度数少的群、线性群、特征度数均为素数的度图群、共轭类R的两个特殊度问题. Brauer的特征环定理Brauer定理的应用Artin归纳定理分裂域Schur指标积分表示三个算术应用小核和忠实不可约特征标TI-集对合群的Sylow-2-子群是广义四元数群的完全Fronebius补。(Part内容）。
Notations and results from group theory representations and representation-modules simple and semisimple modules orthogonality relations the group algebra characters of abelian groups degrees of irreducible representations characters of some small groups products of representation and characters on the number of solutions gm =1 in a group a theorem of A. Hurwitz on multiplicative sums of squares permutation representations and characters the class number real characters and real representations Coprime action groups pa qb Fronebius groups induced characters Brauer's permutation lemma and Glauberman's character correspondence Clifford theory 1 projective representations Clifford theory 2 extension of characters Degree pattern and group structure monomial groups representation of wreath products characters of p-groups groups with a small number of character degrees linear groups the degree graph groups all of whose character degrees are primes two special degree problems lengths of conjugacy classes R. Brauer's theorem on the character ring applications of Brauer's theorems Artin's induction theorem splitting fields the Schur index integral representations three arithmetical applications small kernels and faithful irreducible characters TI-sets involutions groups whose Sylow-2-subgroups are generalized quaternion groups perfect Fronebius complements. (Part contents).