Pure quantitative characterization of linear groups over the binary field

doi:10.1007/s11464-006-0007-9

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Front. Math. China ›› 2006, Vol. 1 ›› Issue (2) : 272-280. DOI: 10.1007/s11464-006-0007-9

Pure quantitative characterization of linear groups over the binary field

SHI Wu-jie¹, WANG Lin-hong¹, WANG Shao-heng²

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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.

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SHI Wu-jie, WANG Lin-hong, WANG Shao-heng. Pure quantitative characterization of linear groups over the binary field. Front. Math. China, 2006, 1(2): 272‒280 https://doi.org/10.1007/s11464-006-0007-9