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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Describing free groups, Part II: $\Pi ^0_4$ hardness and no $\Sigma _{2}^{0}$ basis
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by Charles McCoy and John Wallbaum PDF
Trans. Amer. Math. Soc. 364 (2012), 5729-5734 Request permission

Abstract:

We continue the study of free groups from a computability theoretic perspective. In particular, we show that for $F_{\infty }$, the free group on a countable number of generators, the descriptions given in our preceding paper are the best possible.
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Additional Information
  • Charles McCoy
  • Affiliation: Deparment of Mathematics, University of Portland, Portland, Oregon 97203
  • MR Author ID: 695683
  • John Wallbaum
  • Affiliation: Deparment of Mathematical Sciences, Eastern Mennonite University, Harrisonburg, Virginia 22802
  • Received by editor(s): August 25, 2010
  • Published electronically: June 21, 2012
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 364 (2012), 5729-5734
  • MSC (2010): Primary 03C57
  • DOI: https://doi.org/10.1090/S0002-9947-2012-05458-4
  • MathSciNet review: 2946929