360阶单群同构于A6的初等群论证明
An Elementary Proof That a Simple Group of Order 360 Is Isomorphism to A6
摘要: 仅用Sylow定理和最基本的置换计算证明了360阶单群一定同构于A6。
Abstract:
Only by using Sylow’s theorem and basic permutation computation, we prove that a simple group of order 360 is isomorphic toA6 .
参考文献
[1]
|
Isaacs, I.M. (2008) Finite group theory. American Mathematical Society, Providence.
|
[2]
|
Huppert, B. (1967) Endliche gruppen. Springer-Verlag, Berlin-Heidelberg-New York.
|
[3]
|
Smith, G. and Tabachnikova, O. (2000) Topics in group theory. Springer-Verlag, Berlin-Heidelberg-New York.
|
[4]
|
周峰, 徐涛, 刘合国 (2013) 660阶单群同构于PSL(2,11)的初等群论证明. 理论数学, 4, 241-243.
|
[5]
|
Isaacs, I.M. (1976) Character theory of finite groups. Academic Press, New York.
|
[6]
|
Rotman, J. (1994) An introduction to the theory of groups. Springer-Verlag, Berlin-Heidelberg-New York.
|
[7]
|
Cole, F.N. (1893) Simple groups as far as order 660. American Journal of Mathematics, 15, 303-315.
|