On groups of exponent four. II
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- by C. K. Gupta and N. D. Gupta PDF
- Proc. Amer. Math. Soc. 31 (1972), 360-362 Request permission
Abstract:
C. R. B. Wright has shown that the nilpotency class of an $n$-generator group of exponent four is at most $3n - 1$. This bound is believed to be too large for higher values of $n$. In this note it is shown that if for some large enough integer $n$ this bound can be improved to $[2\tfrac {1}{2}n] - 1$, then the free group of exponent four of infinite rank is solvable.References
- Narain D. Gupta and Seán J. Tobin, On certain groups with exponent four, Math. Z. 102 (1967), 216–226. MR 222168, DOI 10.1007/BF01112439
- Narain D. Gupta and Kenneth W. Weston, On groups of exponent four, J. Algebra 17 (1971), 59–66. MR 268277, DOI 10.1016/0021-8693(71)90042-1
- C. R. B. Wright, On the nilpotency class of a group of exponent four, Pacific J. Math. 11 (1961), 387–394. MR 123602
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 360-362
- MSC: Primary 20.27
- DOI: https://doi.org/10.1090/S0002-9939-1972-0289631-2
- MathSciNet review: 0289631