Yıl 2011, Cilt 9, Sayı 9, Sayfalar 171 - 176 2011-06-01

THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8

Joe Gildea [1]

79 179

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.
group ring, group algebra, unitary unit group, dihedral group
  • 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
Konular
Diğer ID JA46AE65DB
Dergi Bölümü Makaleler
Yazarlar

Yazar: Joe Gildea

Bibtex @ { ieja266322, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Prof. Dr. Abdullah HARMANCI}, year = {2011}, volume = {9}, pages = {171 - 176}, doi = {}, title = {THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8}, key = {cite}, author = {Gildea, Joe} }
APA Gildea, J . (2011). THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8. International Electronic Journal of Algebra, 9 (9), 171-176. Retrieved from http://dergipark.gov.tr/ieja/issue/25202/266322
MLA Gildea, J . "THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8". International Electronic Journal of Algebra 9 (2011): 171-176 <http://dergipark.gov.tr/ieja/issue/25202/266322>
Chicago Gildea, J . "THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8". International Electronic Journal of Algebra 9 (2011): 171-176
RIS TY - JOUR T1 - THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8 AU - Joe Gildea Y1 - 2011 PY - 2011 N1 - DO - T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 171 EP - 176 VL - 9 IS - 9 SN - 1306-6048-1306-6048 M3 - UR - Y2 - 2019 ER -
EndNote %0 International Electronic Journal of Algebra THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8 %A Joe Gildea %T THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8 %D 2011 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 9 %N 9 %R %U
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.