uniform subgroup
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scholarly journals FOLDINGS, GRAPHS OF GROUPS AND THE MEMBERSHIP PROBLEM

2005 ◽  
Vol 15 (01) ◽  
pp. 95-128 ◽  
Author(s):  
ILYA KAPOVICH ◽  
RICHARD WEIDMANN ◽  
ALEXEI MYASNIKOV
Keyword(s):  
Solvable Groups ◽  
Fundamental Groups ◽  
Membership Problem ◽  
Artin Groups ◽  
Graphs Of Groups ◽  
Uniform Subgroup ◽  
Right Angled Artin Groups ◽  
Subgroup Membership Problem

We introduce a combinatorial version of Stallings–Bestvina–Feighn–Dunwoody folding sequences. We then show how they are useful in analyzing the solvability of the uniform subgroup membership problem for fundamental groups of graphs of groups. Applications include coherent right-angled Artin groups and coherent solvable groups.

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