On the growth of groups and automorphisms
We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ n d+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among De...
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Materialtyp: | Journal article |
Språk: | English |
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2005
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