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THE STRUCTURE OF U(F5 kD20)

Year 2010, Volume: 8 Issue: 8, 153 - 160, 01.12.2010

Abstract

The structure of the unit group of the group algebra of the group D20 over any field of characteristic 5 is established in terms of split extensions of cyclic groups.

References

  • A. Bovdi and K. Szak´acs, A basis for the unitary subgroup of the group algebra of units in a finite commutative group algebra, Publ. Math. Debrecen, 46(1-2) (1995), 97–120.
  • V.A. Bovdi and L.G. Kov´acs, Unitary units in modular group algebras., Manuscr. Math., 84(1) (1994), 57–72.
  • L. Creedon and J. Gildea, The structure of the unit group of the group algebra FkD6, Int. J. Pure Appl. Math., 45(2) (2008), 315–320.
  • P.J. Davis, Circulant Matrices, Chelsea Publishing, New York, 1979.
  • J. Gildea, On the Order of U(FpkD2p), Int. J. Pure Appl. Math., 46(2) (2008), –272.
  • J. Gildea, Units of F5kD10, submitted. T. Hurley, Group Rings and Rings of Matrices, Int. J. Pure Appl. Math., 31 (2006), 319–335.
  • M. Khan, Structure of the unit group of F D10, Serdica Math. J., 35(1) (2009), –24.
  • C. Polcino Milies and S.K. Sehgal, An Introduction to Group Rings (Algebras and Applications), Kluwer Academic Publishers, Dordrecht, 2002.
  • R. Sandling, Units in the Modular Group Algebra of a Finite Abelian p-Group, J. Pure Appl. Algebra, 33 (1984), 337–346.
  • R.K. Sharma, J.B. Srivastava and M. Khan, The unit group of F S3, Acta Math. Acad. Paedagog. Nyh´azi. (N.S.), 23(2) (2007), 129–142. Joe Gildea
  • Department of Mechanical and Electronic Engineering School of Engineering Institute of Technology Sligo Ireland e-mail: gildea.joe@itsligo.ie
Year 2010, Volume: 8 Issue: 8, 153 - 160, 01.12.2010

Abstract

References

  • A. Bovdi and K. Szak´acs, A basis for the unitary subgroup of the group algebra of units in a finite commutative group algebra, Publ. Math. Debrecen, 46(1-2) (1995), 97–120.
  • V.A. Bovdi and L.G. Kov´acs, Unitary units in modular group algebras., Manuscr. Math., 84(1) (1994), 57–72.
  • L. Creedon and J. Gildea, The structure of the unit group of the group algebra FkD6, Int. J. Pure Appl. Math., 45(2) (2008), 315–320.
  • P.J. Davis, Circulant Matrices, Chelsea Publishing, New York, 1979.
  • J. Gildea, On the Order of U(FpkD2p), Int. J. Pure Appl. Math., 46(2) (2008), –272.
  • J. Gildea, Units of F5kD10, submitted. T. Hurley, Group Rings and Rings of Matrices, Int. J. Pure Appl. Math., 31 (2006), 319–335.
  • M. Khan, Structure of the unit group of F D10, Serdica Math. J., 35(1) (2009), –24.
  • C. Polcino Milies and S.K. Sehgal, An Introduction to Group Rings (Algebras and Applications), Kluwer Academic Publishers, Dordrecht, 2002.
  • R. Sandling, Units in the Modular Group Algebra of a Finite Abelian p-Group, J. Pure Appl. Algebra, 33 (1984), 337–346.
  • R.K. Sharma, J.B. Srivastava and M. Khan, The unit group of F S3, Acta Math. Acad. Paedagog. Nyh´azi. (N.S.), 23(2) (2007), 129–142. Joe Gildea
  • Department of Mechanical and Electronic Engineering School of Engineering Institute of Technology Sligo Ireland e-mail: gildea.joe@itsligo.ie
There are 11 citations in total.

Details

Other ID JA55KP63DM
Journal Section Articles
Authors

Joe Gildea This is me

Publication Date December 1, 2010
Published in Issue Year 2010 Volume: 8 Issue: 8

Cite

APA Gildea, J. (2010). THE STRUCTURE OF U(F5 kD20). International Electronic Journal of Algebra, 8(8), 153-160.
AMA Gildea J. THE STRUCTURE OF U(F5 kD20). IEJA. December 2010;8(8):153-160.
Chicago Gildea, Joe. “THE STRUCTURE OF U(F5 kD20)”. International Electronic Journal of Algebra 8, no. 8 (December 2010): 153-60.
EndNote Gildea J (December 1, 2010) THE STRUCTURE OF U(F5 kD20). International Electronic Journal of Algebra 8 8 153–160.
IEEE J. Gildea, “THE STRUCTURE OF U(F5 kD20)”, IEJA, vol. 8, no. 8, pp. 153–160, 2010.
ISNAD Gildea, Joe. “THE STRUCTURE OF U(F5 kD20)”. International Electronic Journal of Algebra 8/8 (December 2010), 153-160.
JAMA Gildea J. THE STRUCTURE OF U(F5 kD20). IEJA. 2010;8:153–160.
MLA Gildea, Joe. “THE STRUCTURE OF U(F5 kD20)”. International Electronic Journal of Algebra, vol. 8, no. 8, 2010, pp. 153-60.
Vancouver Gildea J. THE STRUCTURE OF U(F5 kD20). IEJA. 2010;8(8):153-60.