A Characterization Of Lie Type Groups²F₄（2³ï¼‰ And²F₄（2⁵）

Finite simple groupis the basis of the finite group.Using the order of Sylow-subgroups’ normalizer of a group G to characterize finite is helpful to us to acknowledge the structure and propertier deeply.The article is divided into three parts.can be listed as follows:The first chapter introduces the commonly used symbols and concepts also the research background and research results of this paper.In chapter2and chapter3, some simple groups are proved to be isomorphic to2F4(23) and2F4(25)by the order of their sylow subgroups’normalizers of a group. And we get the following results:Theorem2.1Suppose G is a finite group with and,there exists a prime r, where R1∈SylrG and, thenTheorem3.1Suppose G be a finite group with and there exists a prime r, where R1∈SylrG and,thenAt last,we get the further result and hoping the followers can get better results.