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

SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS

Deepak Gumber
Pages
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Publication Date
2013-06-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis:We give some applications of augmentation quotients of free group ringsin group theory.
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Key Findings & Data:We give some applications of augmentation quotients of free group ringsin group theory.
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Conclusion & Impact:We give some applications of augmentation quotients of free group ringsin group theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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References (8)

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  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.