Results for SL (2, p), p=3,5 and 7

Abstract

The collection of whole  - account grade maps respecting a restricted group G of commutative group cf (G,Z) beneath spot wise addendum. Into these one group own  - account generalized characters a subgroup indicate R(G).

Whole invertible   ´  model form a group on a field F indicate ( ,F). A homo. of GL(n,F) to F-{0} is the determinant of these model, ( ,F) indicate the kernel of it. Thus ( ,F) is a subgp. of ( ,F) include whole models of determinant 1 on F.

Let  vector void on F,  indicate whole linear isomo. of V  upon same, a representation of G for representation void  is a homo. of  to . A representation model of  is a homo. of  to , where  is the degree of the representation model.

From the rational representations character table (CTRR) we compute the cyclic decomposition (CD) for , and 7 to  (2, ).