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

被引：0

作者：

Cedric, Pemha Binyam Gabriel ^{[1
]}

机构：

[1] Univ Douala, Fac Sci, Dept Math & Comp Sci, POB 24157, Douala, Cameroon

来源：

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2025年 / 28卷 / 03期

关键词：

Hyperoctahedral group; Wreath product; Semi-direct product; Character; Linear portrayal; Galois group;

D O I：

10.47974/JDMSC-1858

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to first present the hyperoctahedral group, Bn, as the wreath product of & Zopf;2 associated with Can, 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.

引用

页码：701 / 713

页数：13

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