On Torsion Units in Integral Group Ring of a Type of Cyclic-By Groups

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Date

2025

Journal Title

Journal ISSN

Volume Title

Publisher

Badih Ghusayni

Abstract

In this paper, using a complex representation of degree 2 of the group U12 which is given in [5] and belongs to the class of cyclic-byabelian groups [4], we investigate some parametric characteristics of normalized torsion units in integral group ring of U12 relying on the fact that all cyclic-by-abelian groups satisfy the first of Zassenhaus conjectures [4].

Description

Keywords

Group Ring, Integral Group Ring, Representation, Torsion Unit, Zassenhaus Conjecture

Turkish CoHE Thesis Center URL

WoS Q

N/A

Scopus Q

Q4

Source

International Journal of Mathematics and Computer Science

Volume

20

Issue

3

Start Page

923

End Page

935
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