论文标题
可溶剂组直径直径的上限
Upper Bounds For The Diameter Of A Direct Power Of Solvable Groups
论文作者
论文摘要
令G为具有生成集的有限组A。通过G相对于A（对称的）直径相对于A，我们是指在g中的最大值（一个逆）a表示G.by的最短单词的长度的最大值，G.by（对称）的直径（对称）g的最大值表示（对称）的（对称）比G. g-的最大值。大于或等于1和有限的非亚伯溶解组G，我们在对称直径和G功率n的直径和直径上找到了上限，相对于n的多项式生长。
Let G be a finite group with a generating set A. By the (symmetric) diameter of G with respect to A we mean the maximum over g in G of the length of the shortest word in (A union A inverse)A expressing g.By the (symmetric) diameter of G we mean the maximum of (symmetric) diameter over all generating sets of G. Let n greater than or equal to 1, by G power n we mean the n-th direct power of G. For n greater than or equal to 1 and finite non-abelian solvable group G we find an upper bound, growing polynomially with respect to n, for the symmetric diameter and the diameter of G power n.
