Open AccessResolution of a family of Galois embedding problems with cyclic kernel
Author(s) -
Montserrat Vela
Publication year - 2005
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/417
Subject(s) - embedding problem , embedding , mathematics , kernel (algebra) , resolution (logic) , galois group , pure mathematics , computer science , artificial intelligence
In this paper we compute the obstruction and the solutions of cyclic embedding problems given by (E) : 0 → Z/nZ → E → Γ = Z/nZ× m) · · · ×Z/nZ → 0 , with Z/nZ trivial Γ-modulo, finding adequate representations of Γ in the automorphisms group of a generalized Clifford algebra.
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