On equations in tree free groups

Laura Ciobanu

Description

On equations in tree-free groups Laura Ciobanu University of Fribourg, Switzerland

• free group


• group


• g1x1i1 g2x


• variables x1


• xmim gm

Sujets

• Ciobanu
• Free group

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 19
• Langue: English

Extrait

On

equations

in

tree-free

Laura Ciobanu

groups

University of Fribourg, Switzerland

•

Equations

in

groups

Summary

•

Tree-free

groups

•

Lyndon’s

equation

in

tree-free

groups

Equations in groups

•G- a group

•X={X 1 ,. . .,X n }- a set of variables.

Anequationin variablesX 1 , . . . , X n with coefficientsg j inGis a formal expression of the form

g 1 X  i 1 1 g 2 X i  2 2 . . .X  m m g m+1 = 1 i

where j ∈ {1,−1}.