Some augmentation quotients of integral group rings

被引：0
作者：
Deepak Kumar Gumber
Ram Karan
Indu Pal
机构：
[1] Thapar University,School of Mathematics and Computer Applications
[2] Kurukshetra University,Department of Mathematics
来源：
Proceedings Mathematical Sciences | 2008年 / 118卷
关键词：
Integral group ring; augmentation ideal; augmentation quotient;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let G be a group and H be a subgroup of G. A complete description of Δ(G)Δn(H)/Δn + 1(H) is given, and as a consequence the structures of Δ(G)/Δ(H) and Δ2(G)/Δ2(H) are determined. Also, the structure of Δn(G)/Δn(H) for all n ≥ 1 is determined when G is a free group.
引用
收藏
页码：537 / 546
页数：9
相关论文
共 20 条
  • [1] Gupta C. K.(1983)Subgroups induced by certain ideals of free group rings Comm. Algebra 11 2519-2525
  • [2] Hales A. W.(1978)The second augmentation quotient of an integral group ring Arch. Math. 31 259-265
  • [3] Passi I. B. S.(2000)Groups related to fox subgroups Comm. Algebra 28 1051-1059
  • [4] Hurley T.(2005)Augmentation quotients of free group rings Algebra Colloq. 12 597-606
  • [5] Sehgal S.(1986)A note on augmentation quotients Bull. London Math. Soc. 18 5-6
  • [6] Karan R.(1989)Augmentation quotients of integral group rings J. Indian Math. Soc. 54 107-120
  • [7] Kumar D.(1990)Augmentation quotients of integral group rings II J. Pure Appl. Algebra 65 253-262
  • [8] Karan R.(1983)Subgroups ideals in group rings I J. Pure Appl. Algebra 30 261-275
  • [9] Vermani L. R.(1985)On the structure of augmentation ideals in group rings J. Pure Appl. Algebra 35 35-45
  • [10] Karan R.(1986)Subgroups ideals in group rings III Comm. Algebra 14 411-421
12