On the Conjugacy classes of p2 :GL2 (p)-`p ODD Prime`

Authors : Ali M I M AL

Pages : 0-0

View : 16 | Download : 12

Publication Date : 1992-01-01

Article Type : Research Paper

Abstract :A particular procedure has been followed in [1] to construct the conjugacy classes of the split extension p 2 : G L2insert ignore into journalissuearticles values(p);. The object of this paper is to develop a general m ethod for constructing the conjugacy classes of p 2 : GL2insert ignore into journalissuearticles values(p);, where p 2 is an elem entary Abelian p-group of order p 2. This procedure can be used to construct the conjugacy classes of the split extension p n : k where k is any finite group. A brief descrip- tion of the character table of p 2 : GL2 insert ignore into journalissuearticles values(p); is also given, the character table of p 2 : GL2insert ignore into journalissuearticles values(p); plays a big role in the construction of the character table of the m axim al subgroup pl+2 : GL2insert ignore into journalissuearticles values(p); of the projeçtive symplectic group PSP4insert ignore into journalissuearticles values(p); p-prim e [4], where pi+2 is the extra special group of order p 3, this is because insert ignore into journalissuearticles values(pl+2 : GL2insert ignore into journalissuearticles values(p);); / Z insert ignore into journalissuearticles values(p1+2); ~ p 2 : GL2insert ignore into journalissuearticles values(p); where Z insert ignore into journalissuearticles values(p1+2); is the çenter of p l+ 2 in p i+ 2 : GL2insert ignore into journalissuearticles values(p);. These character tables are of great im portance to the docum entation program me of finite simple groups [3].
Keywords : particular, construct, character