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SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS

Year 2013, Volume: 42 Issue: 6, 627 - 631, 01.06.2013

Abstract

We give some applications of augmentation quotients of free group ringsin group theory.

References

  • Gruenberg K.W., Cohomological Topics in Group Theory, Lecture Notes in Mathematics, Springer, Berlin, 143 (1970).
  • D.K. Gumber, R. Karan and I. Pal, Some augmentation quotients of integral group rings, Proc. Indian Acad. Sci. (Math. Sci.) 118 (2010), 537-546.
  • N. Gupta, Free group rings, Contemporary Math., Amer. Math. Soc. 66 (1987).
  • T. Hurley and S. Sehgal, Groups related to fox subgroups, Comm. Algebra 28 (2000) 1051105
  • R. Karan and D. Kumar, Augmentation quotients of free group rings, Algebra Colloq. 12 (2005) 597-606.
  • R. Karan, D. Kumar and L.R. Vermani, Some intersection theorems and subgroups determined by certain ideals in integral group rings-II, Algebra Colloq. 9 (2002), 135-142.
  • L.R. Vermani, Augmentation quotients of integral group rings, Groups-Koria’94 (Pusan), de Gruyter, Berlin (1995) 303-15.
  • L.R. Vermani, A. Razdan and R. Karan, Some remarks on subgroups determined by certain ideals in integral group rings, Proc. Indian Acad. Sci. (Math. Sci.) 103 (1993), 249-256. K.I. Tahara, L.R. Vermani and Atul Razdan, On generalized third dimension subgroups, Canad. Math. Bull. 41 (1998), 109-117.
Year 2013, Volume: 42 Issue: 6, 627 - 631, 01.06.2013

Abstract

References

  • Gruenberg K.W., Cohomological Topics in Group Theory, Lecture Notes in Mathematics, Springer, Berlin, 143 (1970).
  • D.K. Gumber, R. Karan and I. Pal, Some augmentation quotients of integral group rings, Proc. Indian Acad. Sci. (Math. Sci.) 118 (2010), 537-546.
  • N. Gupta, Free group rings, Contemporary Math., Amer. Math. Soc. 66 (1987).
  • T. Hurley and S. Sehgal, Groups related to fox subgroups, Comm. Algebra 28 (2000) 1051105
  • R. Karan and D. Kumar, Augmentation quotients of free group rings, Algebra Colloq. 12 (2005) 597-606.
  • R. Karan, D. Kumar and L.R. Vermani, Some intersection theorems and subgroups determined by certain ideals in integral group rings-II, Algebra Colloq. 9 (2002), 135-142.
  • L.R. Vermani, Augmentation quotients of integral group rings, Groups-Koria’94 (Pusan), de Gruyter, Berlin (1995) 303-15.
  • L.R. Vermani, A. Razdan and R. Karan, Some remarks on subgroups determined by certain ideals in integral group rings, Proc. Indian Acad. Sci. (Math. Sci.) 103 (1993), 249-256. K.I. Tahara, L.R. Vermani and Atul Razdan, On generalized third dimension subgroups, Canad. Math. Bull. 41 (1998), 109-117.
There are 8 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Deepak Gumber This is me

Publication Date June 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 6

Cite

APA Gumber, D. (2013). SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics, 42(6), 627-631.
AMA Gumber D. SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics. June 2013;42(6):627-631.
Chicago Gumber, Deepak. “SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS”. Hacettepe Journal of Mathematics and Statistics 42, no. 6 (June 2013): 627-31.
EndNote Gumber D (June 1, 2013) SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics 42 6 627–631.
IEEE D. Gumber, “SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 6, pp. 627–631, 2013.
ISNAD Gumber, Deepak. “SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS”. Hacettepe Journal of Mathematics and Statistics 42/6 (June 2013), 627-631.
JAMA Gumber D. SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics. 2013;42:627–631.
MLA Gumber, Deepak. “SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 6, 2013, pp. 627-31.
Vancouver Gumber D. SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics. 2013;42(6):627-31.