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math.GR2004★ 8 cited
Counting homomorphisms onto finite solvable groups
Daniel Matei, Alexander I. Suciu
We present a method for computing the number of epimorphisms from a finitely-presented group G to a finite solvable group Γ, which generalizes a formula of Gäschutz. Key to this ap…
math.GR2000
Hall invariants, homology of subgroups, and characteristic varieties
Daniel Matei, Alexander I. Suciu
Given a finitely-generated group G, and a finite group Γ, Philip Hall defined δ_Γto be the number of factor groups of G that are isomorphic to Γ. We show how to compute the Hall in…