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Recognition by Spectrum of Some Linear Groups over the Binary Field

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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 p (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.

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Authors and Affiliations

  1. Universita di Udine, Udine, Italy

    M. S. Lucido

  2. K. N. Toosi University of Technology, Tehran, Iran

    A. R. Moghaddamfar

Authors
  1. M. S. Lucido
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  2. A. R. Moghaddamfar
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Additional information

The second author was supported by a grant from K. N. Toosi University of Technology and by the Research Institute for Fundamental Sciences in Tabriz, Iran.

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 108–122, January–February, 2006.

Original Russian Text Copyright © 2006 Lucido M. S. and Moghaddamfar A. R.

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Lucido, M.S., Moghaddamfar, A.R. Recognition by Spectrum of Some Linear Groups over the Binary Field. Sib Math J 47, 86–96 (2006). https://doi.org/10.1007/s11202-006-0011-z

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  • DOI: https://doi.org/10.1007/s11202-006-0011-z

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