Units of Group Algebras of Non-Abelian Groups of Order 16 and Exponent 4 over F2k

被引:0
作者
Gildea, Joe [1 ]
机构
[1] Inst Technol, Sch Engn, Sligo, Ireland
关键词
Unit group; group ring; group algebra; cyclic; MODULAR GROUP-ALGEBRAS;
D O I
10.1007/s00025-011-0094-0
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 groups and G (4,4) over any field of characteristic 2 is established.
引用
收藏
页码:245 / 254
页数:10
相关论文
共 10 条
[1]   Unitary units in modular group algebras of 2-groups [J].
Bovdi, A ;
Erdei, L .
COMMUNICATIONS IN ALGEBRA, 2000, 28 (02) :625-630
[2]  
Bovdi A A., 1989, Mat Zametki, V45, P23
[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 W
[8]  
Hurley T., 2006, INT J PURE APPL MATH, P319
[9]   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
[10]   PRESENTATIONS FOR UNIT GROUPS OF MODULAR GROUP-ALGEBRAS OF GROUPS OF ORDER-16 [J].
SANDLING, R .
MATHEMATICS OF COMPUTATION, 1992, 59 (200) :689-701