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The Structure of the Unit Group of the Group Algebra

  • Leo Creedon (a1) and Joe Gildea (a1)
Abstract

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×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.

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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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