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李亚利. 有限群实元素和实特征标的若干性质[J]. 信阳师范学院学报(自然科学版), 2016, 29(3): 316-319. DOI: 10.3969/j.issn.1003-0972.2016.03.002
引用本文: 李亚利. 有限群实元素和实特征标的若干性质[J]. 信阳师范学院学报(自然科学版), 2016, 29(3): 316-319. DOI: 10.3969/j.issn.1003-0972.2016.03.002
shu
LI Yali . Some Properties of Real Elements and Real Characters in Finite Groups[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(3): 316-319. DOI: 10.3969/j.issn.1003-0972.2016.03.002
Citation: LI Yali . Some Properties of Real Elements and Real Characters in Finite Groups[J]. Journal of Xinyang Normal University (Natural Science Edition), 2016, 29(3): 316-319. DOI: 10.3969/j.issn.1003-0972.2016.03.002
shu

有限群实元素和实特征标的若干性质

Some Properties of Real Elements and Real Characters in Finite Groups

    摘要
  • 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.

     

    Abstract: The properties of real elements and real characters of finite groups were discussed. The groups whose conjugacy classes of real elements with odd order have 2-power size were proved to be solvable. 2-groups whose irreducible real characters are linear were characterized and the property of those groups were given. 

     

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