Unitary units of the group algebra of modular groups

Zsolt Adam Balogh

doi:10.1142/S021949882250027X

Unitary units of the group algebra of modular groups

Zsolt Adam Balogh

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Article number	2250027
Journal	Journal of Algebra and its Applications
Volume	21
Issue number	2
DOIs	https://doi.org/10.1142/S021949882250027X
Publication status	Published - 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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10.1142/S021949882250027X

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title = "Unitary units of the group algebra of modular groups",

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.",

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KW - Group of units

KW - Group ring

KW - Unitary subgroup

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Unitary units of the group algebra of modular groups

Abstract

Keywords

ASJC Scopus subject areas

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