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有限群实元素和实特征标的若干性质
作者单位:;1.云南民族大学数学与计算机科学学院
摘    要:对有限群的实元素和实特征标性质进行了探讨,证明了奇阶实元素的共轭类长均为2-数的有限群必为可解群.刻画了不可约实特征标均是线性特征标的2-群,并给出了这类群的一个性质.

关 键 词:实元素  实共轭类  实特征标  不可约实特征标

Some Properties of Real Elements and Real Characters in Finite Groups
Institution:,School of Mathematics and Computer Science, Yunnan Minzu University
Abstract:The properties of real elements and real characters of finite groups were discussed. The groups whoseconjugacy classes of real elements with odd order have 2-power size were proved to be solvable. 2-groups whose irreduc-ible real characters are linear were characterized and the property of those groups were given.
Keywords:real element  real conjugacy class  real character  irreducible real character
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