On Lyndon's equation in some Λ-free groups and HNN extensions

被引:0
作者
Ciobanu, L. [1 ]
Fine, B. [2 ]
Rosenberger, G.
机构
[1] Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland
[2] Fairfield Univ, Fairfield, CT 06430 USA
关键词
TREES;
D O I
10.1515/JGT.2010.051
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study Lyndon's equation x(p)y(q)z(r) = 1, with x, y, z group elements and p, q, r positive integers, in HNN extensions of free and fully residually free groups, and draw some conclusions about its behavior in A-free groups.
引用
收藏
页码:333 / 339
页数:7
相关论文
共 10 条
[1]  
Brady N, 2009, T AM MATH SOC, V361, P223
[2]  
CHISWELL I, 2001, INTRO A TRESS
[3]  
Fine B, 1995, GROUPS - KOREA '94, P69
[4]   A classification of fully residually free groups of rank three or less [J].
Fine, B ;
Gaglione, AM ;
Myasnikov, A ;
Rosenberger, G ;
Spellman, D .
JOURNAL OF ALGEBRA, 1998, 200 (02) :571-605
[5]  
FINE B, QUADRATIC PROP UNPUB
[6]  
FINE B, 1990, CONT MATH, V109, P19
[7]  
FINE B, 1993, P AMS SPECIAL SESSIO, P13
[8]  
Lyndon R. C., 1977, Combinatorial group theory
[9]  
Lyndon R. C., 1962, Michigan Math. J, V9, P289
[10]   Some free actions on non-archimedean trees [J].
Martino, A ;
Rourke, SO .
JOURNAL OF GROUP THEORY, 2004, 7 (02) :275-286