On the unitary units of the group algebra F(2)(k)Q(16)

被引：1

作者：

Raza, Zahid ^{[1
]}

Ali, Riasat ^{[1
]}

机构：

[1] Natl Univ Comp & Emerging Sci, Dept Math, B Block,Faisal Town, Lahore, Pakistan

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2015年 / 8卷 / 01期

关键词：

Group algebra; unitary unit group; quaternion-group; circulant matrices;

D O I：

10.1142/S1793557115500138

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, the structure of unitary unit groups V-*(F(2)kQ(16)) is investigated, where Q16, is quaternion group of order 16, and F(2)k is any finite field of characteristic 2, with 2(k) elements. In particular, we give the center Z(V-*( F(2)kQ(16))) of unitary units subgroup V-*( F(2)kQ(16)) of group algebra F(2)kQ(16). The structure of the unitary unit subgroup V-*( F(2)kQ(16)) is described with the help of the Z(V-*( F(2)kQ(16))).

引用

页数：7

共 20 条

[1]

Bovdi A, 1998, PUBL MATH-DEBRECEN, V52, P193

[2]

Bovdi A., 1996, TECHNICAL REPORTS DE, V96, P57

[3]

Bovdi A. A., 1989, MAT ZAMETKI, V45, P23

[4] UNITARY UNITS IN MODULAR GROUP-ALGEBRAS [J].

BOVDI, V ;

KOVACS, LG .

MANUSCRIPTA MATHEMATICA, 1994, 84 (01) :57-72

[5] On the order of the unitary subgroup of a modular group algebra [J].

Bovdi, V ;

Rosa, AL .

COMMUNICATIONS IN ALGEBRA, 2000, 28 (04) :1897-1905

[6]

Bovdi V., 2008, UNITARY SUBGROUP MOD

[7] The Structure of the Unit Group of the Group Algebra F2kD8 [J].

Creedon, Leo ;

Gildea, Joe .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2011, 54 (02) :237-243

[8] UNITARY UNITS OF THE GROUP ALGEBRA F2kQ8 [J].

Creedon, Leo ;

Gildea, Joe .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2009, 19 (02) :283-286

[9]

Davis P. J., 1979, CIRCULANT MATRICES

[10]

Gildea J., 2008, INT J PURE APPL MATH, V46, P267

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