关于2~a13~bp^cq^d和2~a17~bp^cq^d阶单群

On Simple Groups of Orders 2~a13~bp^cq^d and 2~a17~bp^cq^d

利用单群分类定理、指数Diophantine方程和数论技巧 ,给出了所有的 2 a13bpcqd和 2 a17bpcqd阶单群 ,用同样的方法可给出所有的 2 apbqcrd阶K4 -单群 (p是任一确定的素数且p≠ 3,q ,r为异于p的任意两个相异素数 )。

Sinmple Groups of ordefs 2 a13 bp cq d and 2 a17 bp cq d are obtained with the theorem of classification of the simple group and the exponent Diophantine equation. With the same method, all K 4 Simple Groups of order 2 ap bq cr d(p is any definite prime except 3, q and r are any different primes unequal to p can be obtained.