Geodesic
Attainability of the Exponent of Exponential Growth in Free Products of Cyclic Groups
Matematičeskie zametki, Tome 78 (2005) no. 4, pp. 614-618

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In the paper, the set of exponents of exponential growth (growth exponents) for a finitely generated group with respect to all possible generators of this group is studied. It is proved that the greatest lower bound of this set is attained for the free products of a cyclic group of prime order and a free group of finite rank. 
@article{MZM_2005_78_4_a11,
     author = {A. L. Talambutsa},
     title = {Attainability of the {Exponent} of {Exponential} {Growth} in {Free} {Products} of {Cyclic} {Groups}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {614--618},
     publisher = {mathdoc},
     volume = {78},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_4_a11/}
}
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A. L. Talambutsa. Attainability of the Exponent of Exponential Growth in Free Products of Cyclic Groups. Matematičeskie zametki, Tome 78 (2005) no. 4, pp. 614-618. http://geodesic.mathdoc.fr/item/MZM_2005_78_4_a11/