ON THE GROWTH OF GROUPS AND AUTOMORPHISMS
2005 ◽
Vol 15
(05n06)
◽
pp. 869-874
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Keyword(s):
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.
Keyword(s):
1976 ◽
Vol 22
(3)
◽
pp. 274-281
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2008 ◽
Vol 18
(01)
◽
pp. 111-163
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1992 ◽
Vol 53
(3)
◽
pp. 408-420
◽
Keyword(s):
1963 ◽
Vol s3-13
(1)
◽
pp. 672-686
◽
1980 ◽
Vol 29
(1)
◽
pp. 35-51
◽
2014 ◽
Vol 71
(2)
◽
pp. 507-515
◽
Keyword(s):
2016 ◽
Vol 50
(1)
◽
pp. 39-47
1979 ◽
Vol 31
(6)
◽
pp. 1329-1338
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