2019/07/12 by David, Ofir
#20E05 #20E18 #20F34 #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1907.05968
The local to global property for an equation ψ over a group G asks to show that ψ is solvable in G if and only if it is solvable in every finite quotient of G. In this paper we focus that in order to prove this local to global property for free groups G=Fk, it is enough to prove for k less or equal the number of parameters in ψ. In particular we use it to show that the local to global property holds for m-powers in free groups.