ON ZASSENHAUS'CONJECTURE  

作　　者：王燕鸣 

机构地区：[1]Department of Mathematics, Beijing University, Beijing 100871, PRC

出　　处：《Chinese Science Bulletin》1991年第19期1664-1665,共2页

摘　　要：In [1], by using the classification theorem of finite simple groups, Xiao generalized a Zassenhaus’conjecture, and proved the following theorem. Theorem. Let G be a finite group. Then G is nilpotent if and only if (ⅰ)N_G(G_p)/C_G(G_p)is a p-group, (?)p∈π(G), G_p∈Syl_p(G).

关 键 词：NILPOTENT CONJECTURE SUBGROUP SOLVABLE argument QUOTIENT nontrivial DICTION elementary contra 

分 类 号：N[自然科学总论]