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Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups

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Abstract

Let G be a classical group over an arbitrary field F, acting on an n-dimensional vector space V = V(n, F) over a field F. In this paper, we classify the maximal subgroups of G, which normalizes a solvable subgroup N of GL(n, F) not lying in F*1V.

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Authors and Affiliations

  1. School of Mathematics and Systems Science, Beihang University, Beijing, 100191, P. R. China

    Yu Cheng Yang & Shang Zhi Li

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  1. Yu Cheng Yang
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  2. Shang Zhi Li
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Correspondence to Yu Cheng Yang.

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Yang, Y.C., Li, S.Z. Maximal Subgroups in the Classical Groups Normalizing Solvable Subgroups. Acta. Math. Sin.-English Ser. 37, 740–752 (2021). https://doi.org/10.1007/s10114-021-9020-x

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  • DOI: https://doi.org/10.1007/s10114-021-9020-x

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