Powers of commutators as products of squares

M. Akhavan-Malayeri

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-3

Abstract:

Let F be a free group and x , y be two distinct elements of a free generating set, then [ x , y ]   n is not a product of two squares in F , and it is the product of three squares. We give a short combinatorial proof.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:130173

DOI: 10.1155/S0161171202013078

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