带秩的可定义线性拟Frobenius群
Ranked definably linear quasi-Frobenius groups
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。