THE STRUCTURE OF THE UNIT GROUP OF SOME GROUP ALGEBRAS

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Abstract

Let FM be the group algebra of the modular 2-group M over a finite field F of characteristic two. In the present note we establish the structure of the unit group of the group algebra FM and verify the question of Johnson.

Original languageEnglish
Pages (from-to)615-620
Number of pages6
JournalMiskolc Mathematical Notes
Volume21
Issue number2
DOIs
Publication statusPublished - 2020

Keywords

  • group of units
  • group ring
  • unitary subgroup

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Numerical Analysis
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

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