【摘要】 本文获得了以下结果:设G为有限超特殊p-群.则下列条件等价:（1）G的非平凡特征子群的阶相同;（2）G的非平凡特征子群唯一;（3）当p>2时,expG=p;当p=2时,G（?）D₈.更多还原

【Abstract】 In this paper,we studied finite p-groups all of whose nontrivial characteristic sub- groups have the same order. We get that if G is a finite superspecial p-group,then the following conditions are equivalent:（1）Nontrivial characteristic subgroups of G have the same order;（2）G has unique nontrivial characteristic subgroup;（3）If p>2,exp G=p,if p=2,G（?）D₈.更多还原