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 50 条
  • [1] Unit groups of group algebras of certain dihedral groups-II
    Sahai, Meena
    Ansari, Sheere Farhat
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (04)
  • [2] AUTOMORPHISMS OF GROUP-ALGEBRAS OF DIHEDRAL GROUPS
    COELHO, SP
    MILES, CP
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1995, 9A (03): : 541 - 548
  • [3] A comparison of group algebras of dihedral and quaternion groups
    Creedon, Leo
    Hughes, Kieran
    Szabo, Steve
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2021, 32 (03) : 245 - 264
  • [4] A comparison of group algebras of dihedral and quaternion groups
    Leo Creedon
    Kieran Hughes
    Steve Szabo
    Applicable Algebra in Engineering, Communication and Computing, 2021, 32 : 245 - 264
  • [5] Primitive decompositions of idempotents of the group algebras of dihedral groups and generalized quaternion groups
    Dai, Lilan
    Li, Yunnan
    AIMS MATHEMATICS, 2024, 9 (10): : 28150 - 28169
  • [6] GRADED BLOCKS OF GROUP ALGEBRAS WITH DIHEDRAL DEFECT GROUPS
    Bogdanic, Dusko
    COLLOQUIUM MATHEMATICUM, 2011, 122 (02) : 149 - 176
  • [7] Unit groups of group algebras of groups of order 18
    Sahai, Meena
    Ansari, Sheere Farhat
    COMMUNICATIONS IN ALGEBRA, 2021, 49 (08) : 3273 - 3282
  • [8] Unit groups of group algebras of some small groups
    Tang, Gaohua
    Wei, Yangjiang
    Li, Yuanlin
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) : 149 - 157
  • [9] Unit groups of group algebras of some small groups
    Gaohua Tang
    Yangjiang Wei
    Yuanlin Li
    Czechoslovak Mathematical Journal, 2014, 64 : 149 - 157
  • [10] Unit groups of group algebras of groups of order 20
    Ansari, Sheere Farhat
    Sahai, Meena
    QUAESTIONES MATHEMATICAE, 2021, 44 (04) : 503 - 511
12345