关于与有限单群Sz(2^(2m+1)))有限同Sylow正规化子阶的有限群(英文)

On the Groups with the Same Orders of Sylow Normalizers as the Finite Simple Group Sz(2^(2m+1))

证明了:有限群G同构于Sz(q)(q=22m+1,m>0)当且仅当对每个质数r,它们有相同的Sylowr-正规化子阶.

It is proved that a finite group G is isomorphic to Sz（q） （q =2^2m＋1 ,m〉0） if and only if they have the same order of Sylow r-normalizer for every prime r.