3
$\begingroup$

What is a good reference for learning about representations/characters of central products of groups?

By central product, I mean the following. If $G$ and $H$ are groups, containing isomorphic central subgroups $G_1$ and $H_1$ given by an isomorphism $\theta$, then $ G*H = (G \times H)/\langle (g,\theta(g)^{-1}) \rangle $ is what I'm calling the central product, which obviously depends on $G_1$, $H_1$, and $\theta$.

Update: I've found some basic information about central products in the book by Gorenstein, but I'm still wondering if anywhere else has more discussion of this.

  • 0
    What is sum of degrees of irreducible complex characters of the central product compared to that for the direct product (which is the product of the sums of the components and and upper bound for that of the central product as decribed above)?2015-01-26

0 Answers 0