A Characterization Of Lie Type Groups F₄（16）and F₄（8）

The order of the finite simple groups normalizers has very big effect for its itself structure and property, This paper mainly proved how to make use of the order of the subgroup’normalizers depict lie type grours F4(q), q=23,24.Suppose G is a finite group,G(?) F4(q), q=23,24, if and only if, for every prime r,they have the same order of the sylow-normalizers...