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| 摘要: |
| 本文研究了sn（G）对单K3-群的影响.通过对有限群G的子群和主因子的分析，给出了单K3-群的一个刻画，结果如下：如果|G|=p2qr且sn（G）={r，pr，pq}，这里p < q < r为不同素数，那么G≅A5.类似的结论对其它单K3-群都成立. |
| 关键词: Sylow子群 Sylow数 单K3-群 |
| DOI： |
| 分类号:O152.1 |
| 基金项目:Supported by National Natural Science Foundation of China (11401324; 11526114; 11601245; 11371207; 11671402). |
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| A NEW CHARACTERIZATION OF SIMPLE K3-GROUPS |
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DAI Xue,ZHANG Qing-liang,GONG Lü
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| Abstract: |
| In this paper, we study the influence of sn(G) on simple K3-groups. Through the analysis of the subgroups and chief factor of the finite group G, we give a characterization of simple K3-groups and the results are as follows. If|G|=p2qr and sn(G)={r, pr, pq}, where p < q < r are different primes, then G ≅A5. And the similar conclusions hold for all the other simple K3-groups. |
| Key words: Sylow subgroup Sylow number simple K3-group |
