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Open Access Research Article

A linear portrayal of the Galois group G by the ring of irreducible characters of the hyperoctahedral group

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pp. 701–713Vol. 28Issue 3April 2025DOI: 10.47974/JDMSC-1858 Crossmark XML
Received:
13 Jun 2023
Published Online:
11 Apr 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1858
Pages:
701–713

Abstract

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. 

Keywords

Subject Classifications

12F1012J10

References

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