Archiv der Mathematik

, Volume 96, Issue 1, pp 27-30

First online:

Homomorphisms from a finite group into wreath products

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Let G be a finite group, A a finite abelian group. Each homomorphism \({\varphi:G\rightarrow A\wr S_n}\) induces a homomorphism \({\overline{\varphi}:G\rightarrow A}\) in a natural way. We show that as \({\varphi}\) is chosen randomly, then the distribution of \({\overline{\varphi}}\) is close to uniform. As application we prove a conjecture of T. Müller on the number of homomorphisms from a finite group into Weyl groups of type D n .

Mathematics Subject Classification (2000)

20P05 20E22


Wreath products Homomorphism numbers Weyl groups