THE STRUCTURE OF THE UNIT GROUP OF THE GROUP ALGEBRA F2k A4

被引：0

作者：

Gildea, Joe ^{[1
]}

机构：

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

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2011年 / 61卷 / 02期

关键词：

group ring; group algebra; dihedral group; cyclic group;

D O I：

10.1007/s10587-011-0071-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The structure of the unit group of the group algebra of the group A4 over any finite field of characteristic 2 is established in terms of split extensions of cyclic groups.

引用

页码：531 / 539

页数：9

共 47 条

[1] UNITS OF THE GROUP ALGEBRA F2k (C2 x D8)
Gildea, Joe
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (04) : 643 - 647
[2] THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F-2k D-8
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INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2011, 9 : 171 - 176
[3] THE STRUCTURE OF THE UNIT GROUP OF THE GROUP ALGEBRA F3k(C3 x D6)
Gildea, Joe
COMMUNICATIONS IN ALGEBRA, 2010, 38 (09) : 3311 - 3317
[4] Units of Group Algebras of Non-Abelian Groups of Order 16 and Exponent 4 over F2k
Gildea, Joe
RESULTS IN MATHEMATICS, 2012, 61 (3-4) : 245 - 254
[5] The structure of the unit group of the group algebra K q SL (2, 7L 7 )
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JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2024, 27 (08) : 2461 - 2472
[6] THE STRUCTURE OF THE UNIT GROUP OF THE GROUP ALGEBRA OF PAULI'S GROUP OVER ANY FIELD OF CHARACTERISTIC 2
Gildea, Joe
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2010, 20 (05) : 721 - 729
[7] Unit Group of the Group Algebra FqGL(2, 7)
Sivaranjani, N. U.
Nandakumar, E.
Mittal, G.
Sharma, R. K.
ARMENIAN JOURNAL OF MATHEMATICS, 2024, 16 (03): : 1 - 14
[8] ON THE STRUCTURE OF THE UNITARY SUBGROUP OF THE GROUP ALGEBRA F2qD2n
Raza, Zahid
Ahmad, Maqsood
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2014, 13 (04)
[9] On the unitary units of the group algebra F(2)(k)Q(16)
Raza, Zahid
Ali, Riasat
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (01)
[10] On the Structure of the Units of Group Algebra of Dihedral Group
Nan Ji-zhu
Zhang Shuang
CommunicationsinMathematicalResearch, 2014, 30 (04) : 307 - 319

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