Resolution of a family of Galois embedding problems with cyclic kernel

Abstract

In this paper we compute the obstruction and the solutions of cyclic embedding problems given by

(E) : 0 \to Z / n Z \to E \to Γ = Z / n Z \times \dots m) \times Z / n Z \to 0,

with $Z / n Z$ trivial $Γ$ -modulo, finding adequate representations of $Γ$ in the automorphisms group of a generalized Clifford algebra.

Montserrat Vela, Resolution of a family of Galois embedding problems with cyclic kernel. Rev. Mat. Iberoam. 21 (2005), no. 1, pp. 111–132