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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Classification of non-free Kleinian groups generated by two parabolic transformations
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by Hirotaka Akiyoshi, Ken’ichi Ohshika, John Parker, Makoto Sakuma and Han Yoshida PDF
Trans. Amer. Math. Soc. 374 (2021), 1765-1814 Request permission

Abstract:

We give a full proof to Agol’s announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.
References
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Additional Information
  • Hirotaka Akiyoshi
  • Affiliation: Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi-ku, Osaka, 558-8585, Japan
  • MR Author ID: 638956
  • Email: akiyoshi@sci.osaka-cu.ac.jp
  • Ken’ichi Ohshika
  • Affiliation: Department of Mathematics, Faculty of Science, Gakushuin University, Mejiro 1-5-1, Toshima-ku, 171-8588, Japan
  • MR Author ID: 215829
  • Email: ohshika@math.gakushuin.ac.jp
  • John Parker
  • Affiliation: Department of Mathematical Sciences, Durham University, Science Laboratories, South Road, Durham, DH1 3LE, United Kingdom
  • MR Author ID: 319072
  • ORCID: 0000-0003-0513-3980
  • Email: j.r.parker@durham.ac.uk
  • Makoto Sakuma
  • Affiliation: Advanced Mathematical Institute, Osaka City University, 3-3-138, Sugimoto, Sumiyoshi, Osaka City 558-8585, Japan; and Department of Mathematics, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan
  • MR Author ID: 203701
  • ORCID: 0000-0001-5714-5284
  • Email: sakuma@hiroshima-u.ac.jp
  • Han Yoshida
  • Affiliation: National Institute of Technology Gunma College, 580 Toribamachi, Maebashi, Gunma 371-8530, Japan
  • Email: han@gunma-ct.ac.jp
  • Received by editor(s): February 4, 2020
  • Received by editor(s) in revised form: June 18, 2020
  • Published electronically: January 12, 2021
  • Additional Notes: The first author was supported by JSPS Grants-in-Aid 19K03497.
    The second author was supported by JSPS Grants-in-Aid 17H02843 and 18KK0071
    The third author would like to thank Sadayoshi Kojima for supporting his trip to Japan
    The fourth author was supported by JSPS Grants-in-Aid 15H03620
  • © Copyright 2020 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 374 (2021), 1765-1814
  • MSC (2020): Primary 57M50; Secondary 57K10
  • DOI: https://doi.org/10.1090/tran/8246
  • MathSciNet review: 4216723