Solving equations of length seven over torsion-free groups
-
Mairaj Bibi
and
Martin Edjvet
Abstract
Prishchepov [16] proved that all equations of length at most six over torsion-free groups are solvable. A different proof was given by Ivanov and Klyachko in [12]. This supports the conjecture stated by Levin [15] that any equation over a torsion-free group is solvable. Here it is shown that all equations of length seven over torsion-free groups are solvable.
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Articles in the same Issue
- Frontmatter
- Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
- Sandwich classification for GLn(R), O2n(R) and U2n(R,Λ) revisited
- Critical maximal subgroups and conjugacy of supplements in finite soluble groups
- Finite $\smash{p}$\hbox{-}groups of conjugate type {1,p3}
- Normal subgroups in limit groups of prime index
- Uncountable locally free groups and their group rings
- Full box spaces of free groups
- Almost congruence extension property for subgroups of free groups
- Solving equations of length seven over torsion-free groups
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Articles in the same Issue
- Frontmatter
- Irreducible representations of simple algebraic groups in which a unipotent element is represented by a matrix with a single non-trivial Jordan block
- Sandwich classification for GLn(R), O2n(R) and U2n(R,Λ) revisited
- Critical maximal subgroups and conjugacy of supplements in finite soluble groups
- Finite $\smash{p}$\hbox{-}groups of conjugate type {1,p3}
- Normal subgroups in limit groups of prime index
- Uncountable locally free groups and their group rings
- Full box spaces of free groups
- Almost congruence extension property for subgroups of free groups
- Solving equations of length seven over torsion-free groups
- On the structure of virtually nilpotent compact p-adic analytic groups
