On products of powers in groups
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- by Roger Lyndon, Thomas McDonough and Morris Newman PDF
- Proc. Amer. Math. Soc. 40 (1973), 419-420 Request permission
Abstract:
In this note we show that a product of $N$h powers in a group cannot in general be expressed as a product of fewer $N$th powers. This extends a result of Lyndon and Newman [1].References
- Roger C. Lyndon and Morris Newman, Commutators as products of squares, Proc. Amer. Math. Soc. 39 (1973), 267–272. MR 314997, DOI 10.1090/S0002-9939-1973-0314997-5
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 419-420
- MSC: Primary 20F05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320153-7
- MathSciNet review: 0320153