Unitary units of the group algebra of modular groups

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Abstract

Let FM be the group algebra of the modular group M over a finite field F of characteristic two. We calculate the order of the ∗-unitary subgroup of the group algebra FM and describe the structure of the ∗-unitary subgroup in the case when |M| = 16.

Original languageEnglish
Article number2250027
JournalJournal of Algebra and its Applications
Volume21
Issue number2
DOIs
Publication statusPublished - Feb 1 2022

Keywords

  • Group of units
  • Group ring
  • Unitary subgroup

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

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