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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 108–122
(Mi smj837)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj837 https://www.mathnet.ru/eng/smj/v47/i1/p108
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Abstract page: | 386 | Full-text PDF : | 93 | References: | 77 |
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