journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-1858 A linear portrayal of the Galois group G by the ring of irreducible characters of the hyperoctahedral group Cedric Pemha Binyam Gabriel Department of Mathematics and Computer Sciences, Faculty of Sciences, University of Douala, Douala, P. O. Box 24157, Cameroon 28 3 701 713 11 04 2025

The purpose of this paper is to first present the hyperoctahedral group, Bn, as the wreath product of ℤ2 associated with Sn, the symmetric group and then from the ring, A, generated by the irreducible characters of Bn define a linear portrayal of Artin attached to L/K; K is the field associated with the corresponding valuation ring AK issued from A. 

 Hyperoctahedral group Wreath product Semi-direct product Character Linear portrayal Galois group access open retracted no