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A new characterization of A 5 |
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| Authors: | Rulin Shen Changguo Shao Qinhui Jiang Wujie Shi Victor Mazurov |
| Institution: | 1. School of Mathematical Sciences, Suzhou University, 215006, Suzhou, Jiangsu, People’s Republic of China 2. College of Information and Management, Chengdu University of Technology, 610059, Chengdu, China 3. Sobolev Institute of Mathematics, Siberian Branch of Russian, Academy of Sciences, 630090, Novosibirsk, Russia |
| Abstract: | Let G be a group and τ e (G) the set of numbers of elements of G of the same order. In this paper, by τ 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, ${G\cong A_5}$ if and only if τ e (G) = τ e (A 5) = {1, 15, 20, 24}. |
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