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9 p, 117.6 KB On exponential growth rates for free groups / Koubi, M.
Let Fp be a free group of rank p ¸ 2. It is well-known that, with respect to a p-element generating set, that is, a basis, the exponential growth rate of Fp is 2p¡1. We show that the exponential growth rate ¿ of a group G with respect to a p-element generating set X is 2p¡1 if and only if G is free on X; otherwise ¿ < 2p¡1. [...]
1998 - 10.5565/PUBLMAT_42298_13
Publicacions matemàtiques, V. 42 n. 2 (1998) p. 499-507  

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