Classification of finite simple groups whose Sylow 3-subgroups are of order 9

Subject Areas : Statistics

M. R.  Salarian ¹ (Department of Mathematic, Kharazmi University, Tehran/Karaj, Iran.)

Received: 2017-09-09 Accepted : 2019-06-25 Published : 2019-11-01

Keywords: گروههای متناهی, دسته بندی گروههای ساده, گروههای ساده,

Abstract :

In this paper, without using the classification of finite simple groups, we determine the structure of finite simple groups whose Sylow 3-subgroups are of the order 9. More precisely, we classify finite simple groups whose Sylow 3-subgroups are elementary abelian of order 9.

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