More on the set of element orders in finite groups  

作　　者：Naoki Chigira 施武杰 

机构地区：[1]Institute of Mathematics, University of Tsukuba, Ibaraki 305, Japan [2]Institute of Mathematics, Southwest-China Normal University, Chongqing 630715, China

出　　处：《Chinese Science Bulletin》1996年第15期1320-1320,共1页

摘　　要：Let G be a finite group. Let π_e（G） be the set of element orders of G and for any subset m of positive integers, and h（m） be the number of isomorphic classes of finite group G satisfying π_e（G）=m. In ref. [1], the authors made the following conjecture: For all subsets of positive integers, h（m）∈{0, 1, ∞}. Recently, Mazurov proved the following result: If m=π_e（L₃（5））, then h（m）=2. Thus he gave a negative answer to the above conjecture. In this letter, we will give another example with h（m）=2.

关 键 词：二心 

分 类 号：O152.1[理学—数学]