标题： 关于二次拟群的精细结构 显示英文标题

标题： On the Fine Structure of Quadratical Quasigroups

摘要： 我们证明了二次拟群构成一个由右和左单一群组成的簇 Q。 给出了阶数为 25 和 29 的新的二次拟群例子。 研究了二次拟群的精细结构及其性质之间的相互关系。 证明了 Q 的频谱包含所有形如 1 加上 4 的倍数的整数。 显示英文摘要

摘要： We prove that quadratical quasigroups form a variety Q of right and left simple groupoids. New examples of quadratical quasigroups of orders 25 and 29 are given. The fine structure of quadratical quasigroups and inter-relationships between their properties are explored. The spectrum of Q is proved to be contained in the set of integers equal to 1 plus a multiple of 4.