| Recognition of the Projective Special Linear Group over GF（3） |
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| 作者姓名： | M. R. DARAFSHEH |
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| 作者单位： | School of Mathematics, College of Science, University of Tehran, Tehran 14174, Iran |
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| 基金项目： | Supported by the research council of College of Science, the University of Tehran （Grant No. 6103014-1-03）. |
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| 摘 要： | Let P be a finite group and denote by w（P） the set of its element orders. P is called k-recognizable by the set of its element orders if for any finte group G with ω（G） =ω（P） there are, up to isomorphism, k finite groups G such that G ≌P. In this paper we will prove that the group Lp（3）, where p 〉 3 is a prime number, is at most 2-recognizable.
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Recognition of the projective special linear group over GF(3) |
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| M.,R.,DARAFSHEH.Recognition of the projective special linear group over GF(3)[J].Acta Mathematica Sinica,2010,26(3):477-488. |
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| Authors: | M R Darafsheh |
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| Institution: | 1. School of Mathematics, College of Science, University of Tehran, Tehran, 14174, Iran
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| Abstract: | Let P be a finite group and denote by ω(P) the set of its element orders. P is called κ-recognizable by the set of its element orders if for any finte group G with ω(G) = ω(P) there are, up to isomorphism, κ finite groups G such that G ≃ P. In this paper we will prove that the group L
p
(3), where p > 3 is a prime number, is at most 2-recognizable. |
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| Keywords: | element order projective special linear group recognition by spectrum |
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