UNITARY UNITS OF THE GROUP ALGEBRA F2kQ8

被引：29

作者：

Creedon, Leo ^{[1
]}

Gildea, Joe ^{[1
]}

机构：

[1] Inst Technol Sligo, Sch Engn, Sligo, Ireland

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2009年 / 19卷 / 02期

关键词：

Group algebra; unitary unit group; quaternion;

D O I：

10.1142/S0218196709005081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The structure of the unitary unit group of the group algebra F(2k)Q(8) is described as a Hamiltonian group.

引用

页码：283 / 286

页数：4

共 40 条

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[32] THE STRUCTURE OF THE UNIT GROUP OF THE GROUP ALGEBRA F3k(C3 x D6)
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[34] Units of Group Algebras of Non-Abelian Groups of Order 16 and Exponent 4 over F2k
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[35] On units of group algebras of 2-groups of maximal class
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[37] Units of the group algebra \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{F}_{3^k}(C_3^2 \times C_2)$$\end{document}
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Acta Scientiarum Mathematicarum, 2011, 77 (1-2): : 55 - 62
[38] The structure of the unit group of the group algebra \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{F}_{2^k } A_4 $\end{document}
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[39] THE STRUCTURE OF THE UNIT GROUP OF F3k(C3 x D2n) AND FINITE GROUP ALGEBRAS OF GROUPS OF ORDER 42
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INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2025, 37 : 366 - 384
[40] Units of Group Algebras of Non-Abelian Groups of Order 16 and Exponent 4 over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{F}_{2^k}}$$\end{document}
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Results in Mathematics, 2012, 61 (3-4) : 245 - 254

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