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arXiv 2403.04375math.GRmath.LO
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带秩的可定义线性拟Frobenius群

Ranked definably linear quasi-Frobenius groups

Samuel Zamour

AI总结:

本文针对奇型带秩可定义拟Frobenius群开展分类研究,明确二面体构型与正特征下Frobenius群的结构性质,并通过证明带秩可定义线性群的相关结果实现分类目标。

摘要:

我们描述了奇型带秩可定义拟Frobenius群的分类:二面体构型同构于PGL(2, K),其中K是特征不为2的代数闭域;若基域特征为正,则Frobenius群是分裂且可解的。为完成该分类,我们证明了若干关于带秩可定义线性群的结果。

英文摘要:

We describe the classification of ranked definably quasi-Frobenius groups of odd type : dihedral configurations are isomorphic to PGL(2, K) for K an algebraically closed field of characteristic other than two; Frobenius groups are spilt and solvable if the characteristic of the underlying field is positive. To achieve this classification, we prove some results on ranked definably linear groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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