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Matematicheskie Zametki, 2005, Volume 78, Issue 4, Pages 614–618
DOI: https://doi.org/10.4213/mzm2620 (Mi mzm2620) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Attainability of the Exponent of Exponential Growth in Free Products of Cyclic Groups

A. L. Talambutsa

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (170 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm2620
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
English version:
Mathematical Notes, 2005, Volume 78, Issue 4, Pages 569–572
DOI: https://doi.org/10.1007/s11006-005-0156-2
Bibliographic databases:
UDC: 512.543.52
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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