TY - JOUR TT - THE STRUCTURE OF THE UNITARY UNITS OF THE GROUP ALGEBRA F2kD8 AU - Gildea, Joe PY - 2011 DA - June JF - International Electronic Journal of Algebra JO - IEJA PB - Abdullah HARMANCI WT - DergiPark SN - 1306-6048 SP - 171 EP - 176 VL - 9 IS - 9 KW - group ring KW - group algebra KW - unitary unit group KW - dihedral group N2 - 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. CR - 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. CR - V.A. Bovdi and L.G. Kov´acs, Unitary units in modular group algebras, Manuscr. Math., 84(1) (1994), 57–72. CR - 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. CR - 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. CR - 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. CR - L.Creedon and J. Gildea, Unitary units of the group algebra F2kQ8, Internat. J. Algebra Comp., 19(2) (2009), 283–286. CR - P.J. Davis, Circulant Matrices, Chelsea Publishing, New York, 1979. CR - J. Gildea, On the order of U(FpkD2p), Int. J. Pure Appl. Math., 46(2) (2008), –272. CR - T. Hurley, Group rings and rings of matrices, Int. J. Pure Appl. Math., 31 (2006), 319–335. CR - C. Polcino Milies and S.K. Sehgal, An Introduction to Group Rings (Algebras and Applications), Kluwer Academic Publishers, Dordrecht, 2002. CR - R. Sandling, Units in the modular group algebra of a finite abelian p-group, J. Pure Appl. Algebra, 33 (1984), 337–346. CR - R. Sandling, Presentations for units groups of modular group algebras of groups of order 16, Math. Comp., 59 (1992), 689–701. Joe Gildea CR - Department of Mechanical and Electronic Engineering School of Engineering Institute of Technology Sligo Ireland e-mail: gildea.joe@itsligo.ie UR - https://dergipark.org.tr/en/pub/ieja/issue//266322 L1 - https://dergipark.org.tr/en/download/article-file/232845 ER -