| A5与PSL（2，7）的特征及有限CIT—群 |
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| 引用本文： | 段泽勇. A5与PSL（2，7）的特征及有限CIT—群[J]. 数学季刊, 1992, 7(2): 1-5 |
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| 作者姓名： | 段泽勇 |
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| 作者单位： | 西南师大数学系 重庆 |
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| 摘 要： | 本文验证了A5和PSL（2，7）是非阿贝尔单群中含对合数最少的两个群（前者含15个对合，后者含21个对合）。同时，对有限CIT－群G的可解性和有限不可解CIT－群的对合数也做了讨论。
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| 关 键 词： | A5 PSL（2 7） 特征 有限CIT－群 对合数 非阿贝尔单群 中心化子 可解群 共轭类 |
The Characterizations of A_5 and PSL(2,7) and a Note on Finite CIT-Groups |
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| Duan Zeyong. The Characterizations of A_5 and PSL(2,7) and a Note on Finite CIT-Groups[J]. Chinese Quarterly Journal of Mathematics, 1992, 7(2): 1-5 |
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| Authors: | Duan Zeyong |
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| Abstract: | In this paper, it has been shown that A_5 and PSL (2,7) are the only simple groups which just contain 15 or 21 in volutions, respectively. Meanwhile, we have also obtained some results about finite CIT-groups and finite nonsolvabie CIT-groups. |
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| Keywords: | involution finite CIT-group finite nonsolvable CIT-group |
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