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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 108–122 (Mi smj837)  

This article is cited in 2 scientific papers (total in 2 papers)

Recognition by spectrum of some linear groups over the binary field

M. S. Lucidoa, A. R. Moghaddamfarb

a University of Udine
b K. N. Toosi University of Technology
Full-text PDF (280 kB) Citations (2)
References:
Abstract: We focus our attention on the linear groups $L_n(2)$ and obtain some general properties of these groups. We will show then that the linear groups $L_n(2)$, where 2 is a primitive root mod $p$ ($p$ odd prime), are recognizable by spectrum. For example, the linear groups $L_3(2)$, $L_5(2)$, $L_{11}(2)$, $L_{13}(2)$, $L_{19}(2)$, $L_{29}(2)$, $L_{37}(2)$, $L_{53}(2)$, etc. are recognizable by spectrum.
Keywords: Gruenberg?Kegel graph, projective special linear group, recognition by spectrum.
Received: 27.10.2004
Revised: 28.04.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 1, Pages 86–96
DOI: https://doi.org/10.1007/s11202-006-0011-z
Bibliographic databases:
UDC: 519.542
Language: Russian
Citation: M. S. Lucido, A. R. Moghaddamfar, “Recognition by spectrum of some linear groups over the binary field”, Sibirsk. Mat. Zh., 47:1 (2006), 108–122; Siberian Math. J., 47:1 (2006), 86–96
Citation in format AMSBIB
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\pages 108--122
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  • https://www.mathnet.ru/eng/smj/v47/i1/p108
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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