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
收藏
页码：531 / 539
页数：9
相关论文
共 12 条
[1]  
Bovdi A., 1996, TECHNICAL REPORTS DE, V96, P57
[2]   UNITARY UNITS IN MODULAR GROUP-ALGEBRAS [J].
BOVDI, V ;
KOVACS, LG .
MANUSCRIPTA MATHEMATICA, 1994, 84 (01) :57-72
[3]   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
[4]  
Bovdi V. A., 1989, MAT ZAMETKI, V45, P23
[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, An Introduction to Group Rings, 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