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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On groups of exponent four. III
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by N. D. Gupta and R. B. Quintana PDF
Proc. Amer. Math. Soc. 33 (1972), 15-19 Request permission

Abstract:

C. R. B. Wright has shown that the nilpotency class of an n-generator group of exponent four is at most $3n - 1$. In this paper, it is shown that if this bound can be improved to $3n - 3$ then the free group of exponent four of infinite rank is solvable.
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Additional Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 33 (1972), 15-19
  • MSC: Primary 20F05
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0292919-2
  • MathSciNet review: 0292919