期刊文献+

21阶群环F_p^nG的单位群(英文)

The Unit Groups of F_p^nG of Groups with Order 21
下载PDF
导出
摘要 分别研究了F(C7C3)的单位群结构,其中F是有限域;FG的单位群结构,其中G是21阶的非交换群,F是特征不等于3,7的有限群. In this paper, the structure of the unit group of F(C7 X C3 ) over any finite field is established; the structure of the unit group of FG of the non-abelian group G with order 21 over any finite field of characteristic p:;~ 3,7 is also established.
出处 《广西师范学院学报(自然科学版)》 2013年第1期14-20,44,共8页 Journal of Guangxi Teachers Education University(Natural Science Edition)
基金 supported by the National Natural Science Foundation of China(11161006) the Guangxi Natural Science Foundation(2011GXNSFA018139) the Guangxi New Century 1000 Talents Project
关键词 群环 单位群 J根 group ring unit group Jacobson radical
  • 相关文献

参考文献11

  • 1KARPILOVSKY G. On units in commutative group rings[J]. Arch Math, 1982, 38:428 - 430.
  • 2PASSMAN D S. The algebraic structure of group ring[M]. New York.. Wiley-Interscience, John Wiley Sons, 1977.
  • 3MILIES C P, SEHGAL S K. An introduction to group rings[M]. Netherlands: Kluwer Academic Publishers , 2002.
  • 4CREEDON L, GILDEA J. The structure of the unit group of the group algebra F3kD6 [J]. Int J Pure Appl Math, 2008,45:315 - 320.
  • 5CREEDON L. The unit group of small group algebras and the minimum counterexample to the isomorphism problem [EB/OL]. (2009-05-26) http://arxiv, org.
  • 6CREEDON L, GILDEA J. The structure of the unit group of the Group Algebra F2kD8 [J]. Canad Math Bull, 2011, 54:237 - 243.
  • 7GILDEA J. The structure of (FskD2o)[J/OL]. Int Elec J Alebra, 2010, 8:153 - 160.
  • 8GILDEA J. The structure of the unit group of the group algebra Fak (Ca)< D6 )[J]. Comm Alge- bra, 2010, 38:3311 - 3317.
  • 9GILDEA J. The structure of the unit group of the group algebra of Paulis's group over any field of characteristic 2[J]. International Jounal of Algebra and Computation, 2010, 20(5). 721 - 729.
  • 10GILDEA J. Units of Group algebras of Non-Abelian groups of order 16 and exponent 4 over F2k [EB/OL]. (2011) Results Math Online First.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部