On Primitive Linear Representations of Finite Groups

Linear Representations of Finite Groups

Nilpotent Primitive Linear Groups over Finite Fields

In this paper we investigate the structure of groups as in the title. Our work builds on work of several other authors, namely Konyuh [5], Leedham-Green and Plesken [6], and Zalesskii [10], who have described the abstract isomorphism types of the groups. We obtain more detailed descriptions, in particular explaining how group structure depends on the existence of an abelian primitive subgroup. ...

paper Finite primitive linear groups of prime degree

In our paper referred to above we claim to enumerate all …nite primitive linear groups of prime degree r over C with a nonabelian socle. However, the case where the socle is imprimitive was overlooked. In the present paper we deal with this case to complete the classi…cation. 2000 Mathematics Subject Classi…cation: 20H20 20C15 20C33 In the paper referred to above, we state a theorem (Theorem 1....

Representations of finite groups

A micro-introduction to the theory of representations of finite groups.

Representations of Finite Groups