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This article is cited in 58 scientific papers (total in 58 papers)
Spectra of finite linear and unitary groups
A. A. Buturlakin Novosibirsk State University
Abstract:
The spectrum of a finite group is the set of its element orders. An arithmetic criterion determining whether a given natural number belongs to a spectrum of a given group is furnished for all finite special, projective general, and projective special linear and unitary groups.
Keywords:
finite simple group, classical group, spectrum of group, linear group, unitary group.
Received: 07.11.2007 Revised: 19.12.2007
Citation:
A. A. Buturlakin, “Spectra of finite linear and unitary groups”, Algebra Logika, 47:2 (2008), 157–173; Algebra and Logic, 47:2 (2008), 91–99
Linking options:
https://www.mathnet.ru/eng/al352 https://www.mathnet.ru/eng/al/v47/i2/p157
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Abstract page: | 969 | Full-text PDF : | 291 | References: | 92 | First page: | 10 |
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