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.
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
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