Journal article

On the growth of groups and automorphisms

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) ≃ n d+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions. © World Scientific Publishing Company.

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APA Style

Bridson, M. R. (2005). On the growth of groups and automorphisms. International Journal of Algebra and Computation, 15(5-6), 569–874.

MLA Style

Bridson, M. R. “On the Growth of Groups and Automorphisms.” International Journal of Algebra and Computation, vol. 15, no. 5-6, 2005, pp. 569–874.

Chicago Style

Bridson, MR. 2005. “On the Growth of Groups and Automorphisms.” International Journal of Algebra and Computation 15 (5-6): 569–874.
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+ Bridson, MR More by this author

Role:: Author

Journal:: International Journal of Algebra and Computation More from this journal
Volume:: 15
Issue:: 5-6
Pages:: 569-874
Publication date:: 2005-10-01
ISSN:: 0218-1967

Language:: English
Keywords:: Growth of automorphisms

Growth of groups

Dehn functions
Pubs id:: pubs:148025
UUID:: uuid:86deae8a-b8cd-4a32-a22a-11845eeaa647
Local pid:: pubs:148025
Source identifiers:: 148025
Deposit date:: 2012-12-19

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Copyright date:: 2005

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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