Frontiers of Mathematics in China >

2006 , Vol. 1 >Issue 2: 272 - 280

DOI: https://doi.org/10.1007/s11464-006-0007-9

Pure quantitative characterization of linear groups over the binary field

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  • 1.Department of Mathematics, Suzhou University, Suzhou 215006, China; 2.Computer Department, Chongqing Three Gorges College, Chongqing 404000, China

Published date: 05 Jun 2006

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Abstract

The purpose of this paper is to discuss the pure scalar characterization of the automorphism group Aut(L5(2)) and the linear group L6(2). It is proved that Aut(L5(2)) and L6(2) can be characterized quantitatively by the set of element orders. The main results are obtained by using William s work on prime graph components of finite groups and Brauer characters in trivializing the possible 2-subgroups.

Cite this article

SHI Wu-jie, WANG Lin-hong, WANG Shao-heng . Pure quantitative characterization of linear groups over the binary field[J]. Frontiers of Mathematics in China, 2006 , 1(2) : 272 -280 . DOI: 10.1007/s11464-006-0007-9

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