The swap graph of the finite soluble groups

被引：2
|
作者：
Di Summa, Marco [1 ]
Lucchini, Andrea [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2016年 / 44卷 / 02期
关键词：
Soluble groups; Swap conjecture; Generating d-tuples; CONJECTURE;
D O I：
10.1007/s10801-016-0676-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a d-generated finite group G we consider the graph (swap graph) in which the vertices are the ordered generating d-tuples and in which two vertices and are adjacent if and only if they differ only by one entry. It was conjectured by Tennant and Turner that is a connected graph. We prove that this conjecture is true if G is a finite soluble group.
引用
收藏
页码：447 / 454
页数：8
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