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The Structure of the Unit Group of the Group Algebra

Published online by Cambridge University Press:  20 November 2018

Leo Creedon  and
Joe Gildea
Leo Creedon
Affiliation:
School of Engineering, Institute of Technology, Sligo, Irelande-mail: creedon.leo@itsligo.iegildea.joe@itsligo.ie
Joe Gildea
Affiliation:
School of Engineering, Institute of Technology, Sligo, Irelande-mail: creedon.leo@itsligo.iegildea.joe@itsligo.ie
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Abstract

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Let $RG$ denote the group ring of the group $G$ over the ring $R$. Using an isomorphism between $RG$ and a certain ring of $n\,\times \,n$ matrices in conjunction with other techniques, the structure of the unit group of the group algebra of the dihedral group of order 8 over any finite field of chracteristic 2 is determined in terms of split extensions of cyclic groups.

Keywords

16U6016S3420C0515A33
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 2 , 01 June 2011 , pp. 237 - 243
Copyright
Copyright © Canadian Mathematical Society 2011

References

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