The number of words of a given length in the planar crystallographic groups

被引：0
|
作者：
Shutov A.V.
机构：
[1] Vladimir State Pedagogical University,
来源：
Journal of Mathematical Sciences | 2005年 / 129卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
Growth Process; Planar Crystallographic; Exact Formula; Crystallographic Group;
D O I：
10.1007/s10958-005-0329-2
中图分类号：
学科分类号：
摘要：
This paper reveals an interrelation between the words in groups and the growth process of the corresponding graphs, based on which exact formulas for the number of words of a given length for all 17 planar crystallographic groups are obtained. Sloane's conjecture on the graphs of these groups is proved. Bibliography: 7 titles. © 2005 Springer Science+Business Media, Inc.
引用
收藏
页码：188 / 197
页数：9
相关论文
共 50 条
12345