| 题名 | The number of composition factors of order p in completely reducible groups of characteristic p |
| 作者 | |
| 通讯作者 | Glasby, S. P. |
| 发表日期 | 2017-11-15
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| DOI | |
| 发表期刊 | |
| ISSN | 0021-8693
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| EISSN | 1090-266X
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| 卷号 | 490页码:241-255 |
| 摘要 | Let q be a power of a prime p and let G be a completely reducible subgroup of GL(d, q). We prove that the number of composition factors of G that have prime order p is at most (epsilon(q)d - 1)/(p - 1), where e, is a function of q satisfying 1 <= epsilon(q) <= 3/2. For every q, we give examples showing this bound is sharp infinitely often. (C) 2017 Elsevier Inc. All rights reserved. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
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| 学校署名 | 其他
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| 资助项目 | Australian Research Council[DE130101001]
; Australian Research Council[DP150101066]
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics
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| WOS记录号 | WOS:000410716900008
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| 出版者 | |
| ESI学科分类 | MATHEMATICS
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| 来源库 | Web of Science
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| 引用统计 |
被引频次[WOS]：4
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| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/28428 |
| 专题 | 理学院_数学系 工学院_材料科学与工程系 |
| 作者单位 | 1.Univ Western Australia, Ctr Math Symmetry & Computat, 35 Stirling Highway, Crawley, WA 6009, Australia 2.South Univ Sci & Technol China, Dept Math, Shenzhen 518055, Guangdong, Peoples R China 3.Univ Canberra, Dept Math, Canberra, ACT 2601, Australia 4.Univ Primorska, FAMNIT, Glagoljaska 8, SI-6000 Koper, Slovenia 5.Univ Auckland, Dept Math, Private Bag 92019, Auckland 1142, New Zealand |
| 推荐引用方式 GB/T 7714 |
Giudici, Michael,Glasby, S. P.,Li, Cai Heng,et al. The number of composition factors of order p in completely reducible groups of characteristic p[J]. JOURNAL OF ALGEBRA,2017,490:241-255.
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| APA |
Giudici, Michael,Glasby, S. P.,Li, Cai Heng,&Verret, Gabriel.(2017).The number of composition factors of order p in completely reducible groups of characteristic p.JOURNAL OF ALGEBRA,490,241-255.
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| MLA |
Giudici, Michael,et al."The number of composition factors of order p in completely reducible groups of characteristic p".JOURNAL OF ALGEBRA 490(2017):241-255.
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| 条目包含的文件 | ||||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
| 1-s2.0-S002186931730（382KB） | -- | -- | 限制开放 | -- | ||
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