UNITS OF THE GROUP ALGEBRA F2k (C2 x D8)

被引：12
作者：
Gildea, Joe [1 ]
机构：
[1] Inst Technol Sligo, Sch Engn, Sligo, Ireland
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2011年 / 10卷 / 04期
关键词：
Unit group; group ring; group algebra; dihedral; cyclic; MODULAR GROUP-ALGEBRAS;
D O I：
10.1142/S0219498811004720
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The structure of the unit group of the group algebra of the group C-2 x D-8 over any field of characteristic 2 is established in terms of split extensions of cyclic groups.
引用
收藏
页码：643 / 647
页数：5
相关论文
共 11 条
[1]  
Bovdi A A., 1989, Mat Zametki, V45, P23
[2]  
BOVDI AA, 1996, TECHNICAL REPORTS DE, V96, P57
[3]   UNITARY UNITS IN MODULAR GROUP-ALGEBRAS [J].
BOVDI, V ;
KOVACS, LG .
MANUSCRIPTA MATHEMATICA, 1994, 84 (01) :57-72
[4]   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
[5]   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
[6]   UNITARY UNITS OF THE GROUP ALGEBRA F2kQ8 [J].
Creedon, Leo ;
Gildea, Joe .
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2009, 19 (02) :283-286
[7]  
Davis P. J., 1979, Circulant Matrices
[8]  
Hurley T., 2006, INT J PURE APPL MATH, P319
[9]  
Polcino Milies C., 2002, ALGEBRAS APPL, V1
[10]   UNITS IN THE MODULAR GROUP-ALGEBRA OF A FINITE ABELIAN P-GROUP [J].
SANDLING, R .
JOURNAL OF PURE AND APPLIED ALGEBRA, 1984, 33 (03) :337-346
12