This article is cited in 2 papers

Recognition by spectrum of some linear groups over the binary field

M. S. Lucido^a, A. R. Moghaddamfar<sup>b

a</sup> University of Udine
^b K. N. Toosi University of Technology

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.

UDC: 519.542

Received: 27.10.2004
Revised: 28.04.2005

 English version: Siberian Mathematical Journal, 2006, 47:1, 86–96

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