初等abelian表代数几个等价条件

Some Equivalent Conditions of Elementary Abelian Table Algebra

本文利用表代数性质,从表基在给定某种运算下构成群入手,借助群的结构给出pr-1表代数的结构定理。在此基础上,利用表代数同态基本定理,分别从合成列及表基的p阶、阶表子集的数目角度刻画了初等abelian表代数。

By defining a new binary operation a table base makes a group, and enlightened by the structure theorem of finite ablian group the structure theorem of abelian table algebra is obtained by using the property of table algebra. As a further step,from the view of the number of composition series and table subset of order or elementary abelian table algebra is depicted by making use of fundamental theorem on homomorphism of table algebra.