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

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

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