Abstract
We establish the structure of the centre of V∗(F2 k (M2n+1 )), 1 V∗(F2 k (M2n+1 × C2)) and V∗(F2 k ((M2n+1 × C2) × C2)) over a finite field of characteristics 2 where M2n+1 =< ψ, λ|ψ
2n = λ 2 = 1, λψ = ψ 2n+1λ > is the Modular group having order 2 n+1 and C2 is a cyclic
group of order 2
Publisher
Department of Mathematics, University of the Punjab
Reference11 articles.
1. V. Bovdi and L. G. Kovacs, Unitary units in modular group algebras, Manuscripta Mathematica, 84, No .1 (1994) 57-72.
2. V. Bovdi and A. L. Rosa, On the order of the unitary subgroup of a modular group algebra, Communications in Algebra, 28, No. 4 (2000) 1897-1905.
3. A. A. Bovdi and A. A. Sakach, Unitary subgroup of the multiplicative group of a modular group algebra of a finite abelian p-group, Mathematical Notes of the Academy of Sciences of the USSR, 45, No.6 (1989)445-450.
4. P. J. Davis,Circulant matrices. John Wiley and Sons, New York(1979).
5. J. Gildea, On the order of U(FpkD2pm), International Journal of Pure and Applied Mathematics, 46, No. 2 (2008) 267-272.