Applications for the groups S.U.T.(2,p) where p prime upper than 9

Abstract

The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing the conjugacy classes, cyclic subgroups, the ordinary character table (o.ch.ta.) and the rational valued character table for each group.

Keywords

• Cyclic decomposition, upper triangular subgroup, Artin character, Artin indicator, cyclic subgroups.