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math.CANov 17, 2016
4
citations (OpenAlex)
authors
  • Tom Sanders
institutions
  • University of Oxford
arXiv abstractPDF
paper

Solving xz=yy in certain subsets of finite groups

arXiv:1611.05632 · doi:10.1093/qmath/haw056

Abstract

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.

27pp

Cited by in corpus (2)

  • Schur's colouring theorem for non-commuting pairs
  • Complete type amalgamation for non-standard finite groups
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