Solutions to Central Embedding Problems Are Constructible Original Research Article

Letpbe a prime andKa field of characteristic notpcontaining thepth roots of unity. Suppose that 1→2/p3→H→G→1 is a central embedding problem of Galois groups, whereG=Gal(L/K). We show that an isomorphism from a matrix ring to any algebra representative of the cohomological obstruction of the embedding problem determines explicitly solutions to the embedding problem.