| QUASI-PERMUTATION REPRESENTATIONS OF ALTERNATING AND SYMMETRIC GROUPS |
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| 引用本文： | Houshang Behravesh Mohammad Hossein Jafari. QUASI-PERMUTATION REPRESENTATIONS OF ALTERNATING AND SYMMETRIC GROUPS[J]. 数学物理学报(B辑英文版), 2007, 27(2): 297-300. DOI: 10.1016/S0252-9602(07)60029-0 |
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| 作者姓名： | Houshang Behravesh Mohammad Hossein Jafari |
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| 作者单位： | Department of Mathematics University of Urmia Urmia，Iran，Department of Mathematics University of Tabriz，Tabriz，Iran |
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| 摘 要： | The quantities c(G), q(G) and p(G) for finite groups were defined by H. Behravesh. In this article, these quantities for the alternating group An and the symmetric group Sn are calculated. It is shown that c(G) = q(G)=p(G) = n, when G = An or Sn.
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| 关 键 词： | 准排列表示 交错群 对称群 特征理论 |
| 收稿时间： | 2004-06-30 |
| 修稿时间： | 2005-04-06 |
Quasi-permutation representations of alternating and symmetric groups |
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| Behravesh Houshang,Hossein Jafari Mohammad. Quasi-permutation representations of alternating and symmetric groups[J]. Acta Mathematica Scientia, 2007, 27(2): 297-300. DOI: 10.1016/S0252-9602(07)60029-0 |
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| Authors: | Behravesh Houshang Hossein Jafari Mohammad |
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| Affiliation: | aDepartment of Mathematics, University of Urmia, Urmia, Iran;bDepartment of Mathematics, University of Tabriz, Tabriz, Iran |
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| Abstract: | The quantities c(G), q(G) and p(G) for finite groups were defined by H.Behravesh. In this article, these quantities for the alternating group An and the symmetric group Sn are calculated. It is shown thatc(G) = q(G) = p(G) = n,when G = An or Sn. |
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| Keywords: | Quasi-permutation representations alternating groups symmetric groups character theory |
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