标题:
360阶和504阶单群的唯一性的初等群论证明An Elementary Proof for the Uniqueness (up to Isomorphism) of the Simple Groups of Order 360 and 504
作者:
周峰, 于浩然, 王杰, 刘合国
关键字:
Sylow定理, 单群, PSL (2, 9), PSL (2, 8)Sylow’s Theorem, Simple Group, PSL (2, 9), PSL (2, 8)
期刊名称:
《Pure Mathematics》, Vol.4 No.5, 2014-09-05
摘要:
仅用Sylow定理、最基本的置换计算和线性代数重新证明了360阶单群同构于PSL(2,9)及504阶单群同构于PSL(2,8)。
Only by using Sylow’s theorem, basic permutation computation and linear algebra theory, we prove that a simple group of order 360 is isomorphic to PSL(2,9) and a simple group of order 504 is isomorphic to PSL(2,8).