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arxiv: 1611.05632 · v1 · pith:VXVLO5DLnew · submitted 2016-11-17 · 🧮 math.CA

Solving xz=yy in certain subsets of finite groups

classification 🧮 math.CA
keywords finitecertaingroupgroupsnon-trivialsolutionssolvingsubset
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We show that if G is a finite group and A is a subset of G with no non-trivial solutions to xz=yy then |A| < |G|/(log log |G|)^c.

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