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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2013 / Volume: 42 Issue: 6

SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS

Deepak Gumber
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Yayın Tarihi
2013-06-01
DOI
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We give some applications of augmentation quotients of free group ringsin group theory.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We give some applications of augmentation quotients of free group ringsin group theory.
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Temel Bulgular & Veri:We give some applications of augmentation quotients of free group ringsin group theory.
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Sonuç & Katkı:We give some applications of augmentation quotients of free group ringsin group theory.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:integral group ring · augmentation quotient · subgroups determined byideals.

Abstract

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

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Bu Makaleye Atıf Yap

Gumber, D. (2013). SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 6. https://ajindex.com/articles/1403442

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Kaynakça (8)

  1. Gruenberg K.W., Cohomological Topics in Group Theory, Lecture Notes in Mathematics, Springer, Berlin, 143 (1970).
  2. 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.
  3. N. Gupta, Free group rings, Contemporary Math., Amer. Math. Soc. 66 (1987).
  4. T. Hurley and S. Sehgal, Groups related to fox subgroups, Comm. Algebra 28 (2000) 1051105
  5. R. Karan and D. Kumar, Augmentation quotients of free group rings, Algebra Colloq. 12 (2005) 597-606.
  6. 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.
  7. L.R. Vermani, Augmentation quotients of integral group rings, Groups-Koria’94 (Pusan), de Gruyter, Berlin (1995) 303-15.
  8. 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.