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Proceedings of the American Mathematical Society

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

 

 

On groups of exponent four. III


Authors: N. D. Gupta and R. B. Quintana
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1972-0292919-2
Article copyright: © Copyright 1972 American Mathematical Society