Characterization of U1(Z[CnXK4])

Authors

  • Ismail Gokhan Kelebek Fatih University
  • Tevfik Bilgin Fatih University

Keywords:

Integral group ring, unit problem, generators of unit group

Abstract

Constructing the group of units U(ZG) of the integral group ring ZG, for a nitegroup G, is a classical but open problem. In this study, it is shown that U1(Z[Cn x K4]) =U1(ZCn) (1 + K^x) x (1 + K^y) x (1 + K^xy). This structure theorem is applied to give precise characterization of U1(Z[Cn x K4]) for cyclic groups C5 and C7.

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Published

2014-11-04

Issue

Vol. 7 No. 4: (October 2014)

Section

Mathematical Analysis

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How to Cite

Characterization of U1(Z[CnXK4]). (2014). European Journal of Pure and Applied Mathematics, 7(4), 462-471. https://www.ejpam.com/index.php/ejpam/article/view/2311