| 有限群实元素和实特征标的若干性质 |
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| 作者单位： | ;1.云南民族大学数学与计算机科学学院 |
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| 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.
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| 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 |
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| Affiliation: | ,School of Mathematics and Computer Science, Yunnan Minzu University |
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| 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. |
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| Keywords: | real element real conjugacy class real character irreducible real character |
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