A new characterization of A(5)

作者：Shen, Rulin; Shao, Changguo; Jiang, Qinhui; Shi, Wujie^*; Mazurov, Victor

来源：Monatshefte fur Mathematik, 2010, 160(3): 337-341.

DOI：10.1007/s00605-008-0083-x

• Element order
• Set of the numbers of elements of the same order
• Thompson Problem

Let G be a group and tau(e)(G) the set of numbers of elements of G of the same order. In this paper, by tau(e)(G), we give a new characterization of A(5), where A(5) is the alternating group of degree 5. We get the theorem following: Theorem. Let G be a group, G congruent to A(5) if and only if tau(e)(G) = tau(e)(A(5)) = {1, 15, 20, 24}.

• 出版日期2010-6
• 单位成都理工大学; 宿州学院; 苏州大学