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
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)。
Abstract:
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).
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