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1·The group which is founded by Galois and Abel and the theory which is proposed by Klein provide the tool from the second stage to the third stage of the geometry.

而由伽罗瓦和阿贝尔创立的群的结构并由克莱因提出的几何变换群理论为几何学从第二阶段到第三阶段的转变提供了依据。

2·The main means used in the paper are group theory, Galois field, module algebra and linear algebra.

文中涉及的主要理论有群论，伽罗华域，模代数和线性代数。