M. Reza Salarian
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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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.
Key concepts: Sylow theorems, Mathematics, Classification of finite simple groups, Locally finite group, Simple (philosophy), Simple group, Abelian group, Order (exchange)