The Group of Units of Integral Group Rings of Extra-Special 2-Groups

Authors

  • Cristiane de Mello Federal University of the State of Rio de Janeiro

Keywords:

Group rings, Units in integral group rings, The group of units of ZD_4, The group of units of ZG, G extra-special 2-group,

Abstract

One of the main problems on group rings is to determine its group of units. In this paper, we describe the group of units of integral group rings of two extra-special 2-groups: one of order 32,  the central product of two copies of D_4, and another of order 128, the central product of three copies of D_4.

Author Biography

  • Cristiane de Mello, Federal University of the State of Rio de Janeiro

    Teacher of the Mathematics Department 

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Published

2017-11-02

Issue

Vol. 10 No. 5: (October 2017)

Section

Algebraic Geometry

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How to Cite

The Group of Units of Integral Group Rings of Extra-Special 2-Groups. (2017). European Journal of Pure and Applied Mathematics, 10(5), 955-966. https://www.ejpam.com/index.php/ejpam/article/view/3118