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Year 2018, Volume: 24 Issue: 24, 62 - 67, 05.07.2018

Joe Gildea Rhian Taylor

https://doi.org/10.24330/ieja.440205
Cited By: 3

Abstract

References

  • A. Bovdi, The group of units of a group algebra of characteristic p, Publ. Math. Debrecen, 52(1-2) (1998), 193-244.
  • V. Bovdi and A. L. Rosa, On the order of the unitary subgroup of a modular group algebra, Comm. Algebra, 28(4) (2000), 1897-1905.
  • A. Bovdi and A. Szakacs, The unitary subgroup of the multiplicative group of the modular group algebra of a nite abelian p-group, Math. Zametki, 45(6) (1989), 23-29.
  • L. Creedon and J. Gildea, The structure of the unit group of the group algebra F3kD6, Int. J. Pure Appl. Math., 45(2) (2008), 315-320.
  • J. Gildea, The structure of the unit group of the group algebra F3K(C3  D6), Comm. Algebra, 38(9) (2010), 3311-3317.
  • J. Gildea and F. Monaghan, Units of some group algebras of groups of order 12 over any nite eld of characteristic 3, Algebra Discrete Math., 11(1) (2011), 46-58.
  • M. Khan, R. K. Sharma and J. B. Srivastava, The unit group of FS4, Acta Math. Hungar., 118(1-2) (2008), 105-113.
  • R. Sandling, Units in the modular group algebra of a nite abelian p-group, J. Pure Appl. Algebra, 33(3) (1984), 337-346.
  • R. K. Sharma, J. B. Srivastava and M. Khan, The unit group of FA4, Publ. Math. Debrecen, 71(1-2) (2007), 21-26.
  • R. K. Sharma, J. B. Srivastava and M. Khan, The unit group of FS3, Acta Math. Acad. Paedagog. Nyhazi. (N.S.), 23(2) (2007), 129-142.

UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3

Year 2018, Volume: 24 Issue: 24, 62 - 67, 05.07.2018

Joe Gildea Rhian Taylor

https://doi.org/10.24330/ieja.440205
Cited By: 3

Abstract

In this paper, we establish the structure of the unit group of the group algebra.

Keywords

Group ring group algebra unit group dihedral group

References

  • A. Bovdi, The group of units of a group algebra of characteristic p, Publ. Math. Debrecen, 52(1-2) (1998), 193-244.
  • V. Bovdi and A. L. Rosa, On the order of the unitary subgroup of a modular group algebra, Comm. Algebra, 28(4) (2000), 1897-1905.
  • A. Bovdi and A. Szakacs, The unitary subgroup of the multiplicative group of the modular group algebra of a nite abelian p-group, Math. Zametki, 45(6) (1989), 23-29.
  • L. Creedon and J. Gildea, The structure of the unit group of the group algebra F3kD6, Int. J. Pure Appl. Math., 45(2) (2008), 315-320.
  • J. Gildea, The structure of the unit group of the group algebra F3K(C3  D6), Comm. Algebra, 38(9) (2010), 3311-3317.
  • J. Gildea and F. Monaghan, Units of some group algebras of groups of order 12 over any nite eld of characteristic 3, Algebra Discrete Math., 11(1) (2011), 46-58.
  • M. Khan, R. K. Sharma and J. B. Srivastava, The unit group of FS4, Acta Math. Hungar., 118(1-2) (2008), 105-113.
  • R. Sandling, Units in the modular group algebra of a nite abelian p-group, J. Pure Appl. Algebra, 33(3) (1984), 337-346.
  • R. K. Sharma, J. B. Srivastava and M. Khan, The unit group of FA4, Publ. Math. Debrecen, 71(1-2) (2007), 21-26.
  • R. K. Sharma, J. B. Srivastava and M. Khan, The unit group of FS3, Acta Math. Acad. Paedagog. Nyhazi. (N.S.), 23(2) (2007), 129-142.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Joe Gildea This is me

Rhian Taylor This is me

Publication Date July 5, 2018
Published in Issue Year 2018 Volume: 24 Issue: 24

Cite

APA Gildea, J., & Taylor, R. (2018). UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3. International Electronic Journal of Algebra, 24(24), 62-67. https://doi.org/10.24330/ieja.440205
AMA Gildea J, Taylor R. UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3. IEJA. July 2018;24(24):62-67. doi:10.24330/ieja.440205
Chicago Gildea, Joe, and Rhian Taylor. “UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn X D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3”. International Electronic Journal of Algebra 24, no. 24 (July 2018): 62-67. https://doi.org/10.24330/ieja.440205.
EndNote Gildea J, Taylor R (July 1, 2018) UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3. International Electronic Journal of Algebra 24 24 62–67.
IEEE J. Gildea and R. Taylor, “UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3”, IEJA, vol. 24, no. 24, pp. 62–67, 2018, doi: 10.24330/ieja.440205.
ISNAD Gildea, Joe - Taylor, Rhian. “UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn X D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3”. International Electronic Journal of Algebra 24/24 (July 2018), 62-67. https://doi.org/10.24330/ieja.440205.
JAMA Gildea J, Taylor R. UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3. IEJA. 2018;24:62–67.
MLA Gildea, Joe and Rhian Taylor. “UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn X D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3”. International Electronic Journal of Algebra, vol. 24, no. 24, 2018, pp. 62-67, doi:10.24330/ieja.440205.
Vancouver Gildea J, Taylor R. UNITS OF THE GROUP ALGEBRA OF THE GROUP Cn x D6 OVER ANY FINITE FIELD OF CHARACTERISTIC 3. IEJA. 2018;24(24):62-7.

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