The structure of the unit group of the group algebra F 2kD 8

Leo Creedon, Joe Gildea

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

Let RG denote the group ring of the group G over the ring R. Using an isomorphismbetween RG and a certain ring of n×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.

Original languageEnglish
Pages (from-to)237-243
Number of pages7
JournalCanadian Mathematical Bulletin
Volume54
Issue number2
DOIs
Publication statusPublished - Jun 2011

Name of Affiliated ATU Research Unit

  • MISHE - Mathematical Modelling and Intelligent Systems for Health & Environment

Fingerprint

Dive into the research topics of 'The structure of the unit group of the group algebra F 2kD 8'. Together they form a unique fingerprint.

Cite this