Units in FD_2p^m

2013/07/01 by Kuldeep Kaur, Kaur, Kuldeep, Manju Khan +1
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1307.0282

18 pages

arxiv created 2013/07/01 · arxiv updated 2013/07/02

Abstract

In this note, we compute the order and provide the structure of the unit group U(FD_2p^m) of the group algebra FD_2p^m, where F is a finite field of characteristic 2 and D_2p^m is the dihedral group of order 2p^m such that p is an odd prime. Further, we obtain the structure of the unitary subgroup U_*(FD_2p^m) with respect to canonical involution * and prove that it is a normal subgroup of the unit group U(FD_2p^m).

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