BibTex RIS Kaynak Göster

THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8

Yıl 2011, Cilt: 9 Sayı: 9, 171 - 176, 01.06.2011

Öz

The structure of the unitary unit group of the group algebra of the dihedral group of order 8 over any finite field of characteristic 2 is established.

Kaynakça

  • A.A. Bovdi and L. Erdei, Unitary units in the modular group algebra of groups of order 16, Technical Reports Debrecen, 94/4 (1996), 57–72.
  • V.A. Bovdi and L.G. Kov´acs, Unitary units in modular group algebras, Manuscr. Math., 84(1) (1994), 57–72.
  • 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.A. Bovdi and A. Szak´acs, Unitary subgroup of the group of units of a modular group algebra of a finite abelian p-group, Math. Zametki, 45(6) (1989), 23–29.
  • L.Creedon and J. Gildea, The Structure of the unit group of the group alge- bra F2kD, Canad. Math. Bull., Published electronically on August 26, 2010. doi:10.4153/CMB-2010-098-5.
  • L.Creedon and J. Gildea, Unitary units of the group algebra F2kQ8, Internat. J. Algebra Comp., 19(2) (2009), 283–286.
  • 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.
  • T. Hurley, Group rings and rings of matrices, Int. J. Pure Appl. Math., 31 (2006), 319–335.
  • 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. Sandling, Presentations for units groups of modular group algebras of groups of order 16, Math. Comp., 59 (1992), 689–701. Joe Gildea
  • Department of Mechanical and Electronic Engineering School of Engineering Institute of Technology Sligo Ireland e-mail: gildea.joe@itsligo.ie
Yıl 2011, Cilt: 9 Sayı: 9, 171 - 176, 01.06.2011

Öz

Kaynakça

  • A.A. Bovdi and L. Erdei, Unitary units in the modular group algebra of groups of order 16, Technical Reports Debrecen, 94/4 (1996), 57–72.
  • V.A. Bovdi and L.G. Kov´acs, Unitary units in modular group algebras, Manuscr. Math., 84(1) (1994), 57–72.
  • 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.A. Bovdi and A. Szak´acs, Unitary subgroup of the group of units of a modular group algebra of a finite abelian p-group, Math. Zametki, 45(6) (1989), 23–29.
  • L.Creedon and J. Gildea, The Structure of the unit group of the group alge- bra F2kD, Canad. Math. Bull., Published electronically on August 26, 2010. doi:10.4153/CMB-2010-098-5.
  • L.Creedon and J. Gildea, Unitary units of the group algebra F2kQ8, Internat. J. Algebra Comp., 19(2) (2009), 283–286.
  • 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.
  • T. Hurley, Group rings and rings of matrices, Int. J. Pure Appl. Math., 31 (2006), 319–335.
  • 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. Sandling, Presentations for units groups of modular group algebras of groups of order 16, Math. Comp., 59 (1992), 689–701. Joe Gildea
  • Department of Mechanical and Electronic Engineering School of Engineering Institute of Technology Sligo Ireland e-mail: gildea.joe@itsligo.ie
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA46AE65DB
Bölüm Makaleler
Yazarlar

Joe Gildea Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 9 Sayı: 9

Kaynak Göster

APA Gildea, J. (2011). THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8. International Electronic Journal of Algebra, 9(9), 171-176.
AMA Gildea J. THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8. IEJA. Haziran 2011;9(9):171-176.
Chicago Gildea, Joe. “THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8”. International Electronic Journal of Algebra 9, sy. 9 (Haziran 2011): 171-76.
EndNote Gildea J (01 Haziran 2011) THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8. International Electronic Journal of Algebra 9 9 171–176.
IEEE J. Gildea, “THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8”, IEJA, c. 9, sy. 9, ss. 171–176, 2011.
ISNAD Gildea, Joe. “THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8”. International Electronic Journal of Algebra 9/9 (Haziran 2011), 171-176.
JAMA Gildea J. THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8. IEJA. 2011;9:171–176.
MLA Gildea, Joe. “THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8”. International Electronic Journal of Algebra, c. 9, sy. 9, 2011, ss. 171-6.
Vancouver Gildea J. THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8. IEJA. 2011;9(9):171-6.