论文标题
从其子架晶格中恢复有关有限组的信息
Recovering information about a finite group from its subrack lattice
论文作者
论文摘要
我们证明有限群的子指纹晶格的同构类型决定了nilpotence类。我们分析了估计与子晶格原子相对应的组元素的顺序的问题。结果，我们表明，如果满足特定条件，子架晶格确定了组的$ p $ nilpotence。
We prove that the isomorphism type of the subrack lattice of a finite group determines the nilpotence class. We analyze the problem of estimating the orders of the group elements corresponding to the atoms of the subrack lattice. As a result, we show that the subrack lattice determines $p$-nilpotence of the group if a certain condition is met.
