Name: ON THE GROWTH OF GROUPS AND AUTOMORPHISMS
Creator: Bridson, MR
Keywords: 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Oct 2005 English Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Algebra and Computation, volume 15, pages 869-874 (issn: 0218-1967, eissn: 1793-6500,

Authors: Bridson, MR;

doi: 10.1142/s021819670500258x

ON THE GROWTH OF GROUPS AND AUTOMORPHISMS

- Summary
- Metrics

Abstract

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) ≃ nd+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions.

Related Organizations

University of Oxford
United Kingdom
Imperial College London
United Kingdom

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	3
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average