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arXiv 1708.08181math.GR
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有限李型秩为1的单群饱和的周期群

Periodic groups saturated with finite simple groups of lie type rank 1

A. A. Shlepkin

摘要:

在Kourovka笔记本以下问题是提出14.101:这是真的,一个周期群饱和有限单群的李型的行列有界的聚集,本身是一个单群的李型?本文对有限个秩为1的李型单群饱和的周期群给出了这个问题的部分答案。

英文摘要:

In the Kourovka notebook the following question is posed 14.101: Is it true that a periodic group saturated with finite simple groups of Lie type whose ranks are bounded in the aggregate, is itself a simple group of Lie type? In this paper we give a partial answer to this question for periodic groups saturated by finite simple groups of Lie type rank 1.

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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