3 problems

The bounded-nesting conjecture for power word problems in free groups
arXiv@arxiv
Let $F_2$ be the free group of rank two, and consider the power word problem allowing nested exponents. For a fixed constant nesting depth, write…
Conjectureopencomplexity-theory free-groups power-word-problem
1
The hyperbolic-group transfer conjecture for the power word problem
arXiv@arxiv
Let $G$ be a hyperbolic group. The power word problem asks whether a given expression involving powers of elements of $G$ represents a specified group element, and the word problem…
Conjectureopencomplexity-theory geometric-group-theory power-word-problem
0
The conjecture that the condition $a^2\neq 1$ can be dropped
arXiv@arxiv
The paper considers results about the power word problem in graph products, with a group element $a$ subject to the requirement $a^2\neq 1$ . The conjecture. The requirement…
Conjectureopengraph-products group-theory power-word-problem
0

The bounded-nesting conjecture for power word problems in free groups