SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS

Deepak Gumber

Research Article

SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS

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

Deepak Gumber

https://izlik.org/JA43XH38MH

Abstract

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

Keywords

integral group ring , augmentation quotient , subgroups determined byideals.

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

Deepak Gumber

https://izlik.org/JA43XH38MH

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	Research Article
Authors	Deepak Gumber This is me
Publication Date	June 1, 2013
IZ	https://izlik.org/JA43XH38MH
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. https://izlik.org/JA43XH38MH
AMA	1.Gumber D. SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics. 2013;42(6):627-631. https://izlik.org/JA43XH38MH
Chicago	Gumber, Deepak. 2013. “SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS”. Hacettepe Journal of Mathematics and Statistics 42 (6): 627-31. https://izlik.org/JA43XH38MH.
EndNote	Gumber D (June 1, 2013) SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics 42 6 627–631.
IEEE	[1]D. Gumber, “SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 6, pp. 627–631, June 2013, [Online]. Available: https://izlik.org/JA43XH38MH
ISNAD	Gumber, Deepak. “SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS”. Hacettepe Journal of Mathematics and Statistics 42/6 (June 1, 2013): 627-631. https://izlik.org/JA43XH38MH.
JAMA	1.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, June 2013, pp. 627-31, https://izlik.org/JA43XH38MH.
Vancouver	1.Deepak Gumber. SOME APPLICATIONS OF AUGMENTATIONQUOTIENTS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 Jun. 1;42(6):627-31. Available from: https://izlik.org/JA43XH38MH