Central Intertwining Numbers for Representations of Finite Groups

Generic Central Extensions and Projective Representations of Finite Groups

Any free presentation for the finite group G determines a central extension (R, F ) for G having the projective lifting property for G over any field k. The irreducible representations of F which arise as lifts of irreducible projective representations of G are investigated by considering the structure of the group algebra kF , which is greatly influenced by the fact that the set of torsion ele...

Representations of finite groups

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

Representations of Finite Groups

Representations of Finite Groups

We provide a formal framework for the theory of representations of finite groups, as modules over the group ring. Along the way, we develop the general theory of groups (relying on the group add class for the basics), modules, and vector spaces, to the extent required for theory of group representations. We then provide formal proofs of several important introductory theorems in the subject, in...

Representations of finite groups

Representations of finite groups are much simpler than those of larger ones, but they offer a model for the general theory and for that reason are very valuable as an introduction to the subject. The challenge is to present the material in such a way as to give some idea of techniques that might generalize, rather than use tricks that definitely work only for finite groups. Pursuing this goal s...