Unit Groups of Group Algebras of Certain Dihedral Groups

被引:0
作者
Sahai, M. [1 ]
Ansari, S. F. [1 ]
机构
[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India
来源
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2020年 / 14卷 / 03期
关键词
Dihedral group; group algebra; unit group;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we give the complete characterization of U(FD4), U(FD8), U(FD10), U(FD16) and U(FD20), where F is a finite field of characteristic p > 0 and D-n is the dihedral group of order 2n. We also find the structure of U(FD2k) and U(FD5.2k), when F is a finite field of characteristic 2.
引用
收藏
页码:419 / 436
页数:18
相关论文
共 16 条
[1]  
[Anonymous], 2009, SERDICA MATH J
[2]  
Creedon L., 2008, INT J PURE APPL MATH, V45, P315
[3]  
Creedon L., 2008, INT J PURE APPL MATH, V49, P531
[4]   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
[5]  
GILDEA J., 2010, SERDICA MATH J, V36, P247
[6]  
Gildea J., 2008, Int. J. Pure Appl. Math., V46, P267
[7]  
Gildea J, 2010, INT ELECTRON J ALGEB, V8, P153
[8]  
Karpilovsky G., 1992, N HOLLAND MATH STUDI, V1
[9]  
Lam T. Y., 1991, 1 COURSE NONCOMMUTAT
[10]  
Makhijani N, 2014, INT J GROUP THEORY, V3, P25