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This article is cited in 6 scientific papers (total in 6 papers)
Attainability of the Exponent of Exponential Growth in Free Products of Cyclic Groups
A. L. Talambutsa Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
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.
Received: 27.12.2004 Revised: 14.02.2005
Citation:
A. L. Talambutsa, “Attainability of the Exponent of Exponential Growth in Free Products of Cyclic Groups”, Mat. Zametki, 78:4 (2005), 614–618; Math. Notes, 78:4 (2005), 569–572
Linking options:
https://www.mathnet.ru/eng/mzm2620https://doi.org/10.4213/mzm2620 https://www.mathnet.ru/eng/mzm/v78/i4/p614
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Abstract page: | 399 | Full-text PDF : | 221 | References: | 41 | First page: | 1 |
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