摘要 : In this paper we study presentations of finite simple groups G from a quantitative point of view. Our main result provides unexpected answers to the following questions: how many relations are needed to define G, and how short can... 展开 In this paper we study presentations of finite simple groups G from a quantitative point of view. Our main result provides unexpected answers to the following questions: how many relations are needed to define G, and how short can these relations be? 收起