| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4585830 | Journal of Algebra | 2012 | 8 Pages |
Abstract
We extend and reformulate a result of Solomon on the divisibility of the title. We show, for example, that if Γ is a finitely generated group, then |G| divides #Hom(Γ,G) for every finite group G if and only if Γ has infinite abelianization. As a consequence we obtain some arithmetic properties of the number of subgroups of a given index in such a group Γ.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
