关于2^a 13^b p^c q^d和2^a 17^b p^c q^d 阶单群

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^a 13^b p^c q^d和2^a 17^b p^c q^d 阶单群，用同样的方法可给出所有的2^a p^b q^c r^d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)。

On Simple Groups of Orders 2a13bpcqd and 2a17bpcqd

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.