| 最高阶元个数是4p2的有限群 |
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| 引用本文： | 黄彦华. 最高阶元个数是4p2的有限群[J]. 四川理工学院学报(自然科学版), 2009, 22(6): 35-36,41 |
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| 作者姓名： | 黄彦华 |
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| 作者单位： | 四川理工学院理学院,四川,自贡,643000 |
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| 基金项目： | 四川理工学院人才引进科研启动项目 |
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| 摘 要： | 文章讨论了最高阶元素的个数是4p~2的有限群(p>3,p为素数),即|M(G)|=4p~2的情形,通过最高阶元素的个数来讨论其对群G的影响,由该方程得到n,φ(k)的取值,从而根据n,φ(k)的值推导出G的结构,进一步判断G的可解性。
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| 关 键 词： | 有限群 最高阶元 可解 |
On Finite Groups Having 4p2 Maximal Order Elements |
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| HUANG Yan-hua. On Finite Groups Having 4p2 Maximal Order Elements[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2009, 22(6): 35-36,41 |
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| Authors: | HUANG Yan-hua |
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| Abstract: | Finite groups having 4p~2(p>3,pis prime)maximal order elements are studied in the paper.The influnces of the numbers of maximal order elements on group G is also discussed.Then we get n,φ(k) from the equation |M(G) | = 4p~2,furtherly,we judge whether G was solvable by the structure of the G,which satisfies the equation | M(G) | = 4p~2. |
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| Keywords: | finite group maximal order elements solvable |
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