Recognition by Spectrum of Some Linear Groups over the Binary Field

被引：0

作者：

M. S. Lucido

A. R. Moghaddamfar

机构：

[1] Universita di Udine,

[2] K. N. Toosi University of Technology,undefined

来源：

Siberian Mathematical Journal | 2006年 / 47卷

关键词：

Gruenberg-Kegel graph; projective special linear group; recognition by spectrum;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We focus our attention on the linear groups Ln(2) and obtain some general properties of these groups. We will show then that the linear groups Lp(2), where 2 is a primitive root mod p (p odd prime), are recognizable by spectrum. For example, the linear groups L3(2), L5(2), L11(2), L13(2), L19(2), L29(2), L37(2), L53(2), etc. are recognizable by spectrum.

引用

页码：86 / 96

页数：10

共 39 条

[1] Recognition by spectrum of some linear groups over the binary field
Lucido, MS
Moghaddamfar, AR
SIBERIAN MATHEMATICAL JOURNAL, 2006, 47 (01) : 86 - 96
[2] Some results on the recognizability of the linear groups over the binary field
Darafsheh, M. R.
Farjami, Y.
Khademi, M.
Moghaddamfar, A. R.
COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2005, 46 (04): : 589 - 600
[3] On spectrum of linear groups over the binary field and recognizability of L12(2)
Moghaddamfar, AR
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2006, 16 (02) : 341 - 349
[4] OD-Characterization of Some Projective Special Linear Groups Over the Binary Field and Their Automorphism Groups
Moghaddamfar, A. R.
Rahbariyan, S.
COMMUNICATIONS IN ALGEBRA, 2015, 43 (06) : 2308 - 2334
[5] Recognition by spectrum for finite linear groups over fields of characteristic 2
M. A. Grechkoseeva
Algebra and Logic, 2008, 47 : 229 - 241
[6] Recognition by spectrum for finite linear groups over fields of characteristic 2
Grechkoseeva, M. A.
ALGEBRA AND LOGIC, 2008, 47 (04) : 229 - 241
[7] On Recognition by Spectrum of Finite Simple Linear Groups over Fields of Characteristic 2
A. V. Vasil’ev
M. A. Grechkoseeva
Siberian Mathematical Journal, 2005, 46 : 593 - 600
[8] On recognition by spectrum of finite simple linear groups over fields of characteristic 2
Vasil'ev, AV
Grechkoseeva, MA
SIBERIAN MATHEMATICAL JOURNAL, 2005, 46 (04) : 593 - 600
[9] Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2
Vasilyev, A. V.
Grechkoseeva, M. A.
ALGEBRA AND LOGIC, 2008, 47 (05) : 314 - 320
[10] Recognition by spectrum for finite simple linear groups of small dimensions over fields of characteristic 2
A. V. Vasilyev
M. A. Grechkoseeva
Algebra and Logic, 2008, 47 : 314 - 320

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