25阶非Desarguesian Andre平面的完全分类

SPREAD AND CLASSIFICATION OF NON-DESARGUESIAN ANDRE PLANES OF ORDER 25

本文回答Ｐ．Ｒ．Ｈｕｇｂｏ提出的一个问题：“是否由７个非ｂｅｒｇｕｅｒｅａｎＡｎｄｒｅ拟域坐标的平面可能全部同构？”给出的结论是：有且只有３个２５阶非ＤｅｓａｒｇｕｅｓｉａｎＡｎｄｒｅ平面。

This paper furnishes an answer to the problem raised from[1] “Are the seven planes ccordinatedby non-Desarguesian Andre quasifield all possibly isOmorphic?”It is proved that there are onlythree non-Desarguesian Andre planes of order 25。