Details

Autor(en) / Beteiligte

• AUSTIN, TIM

Titel

Quantitative Equidistribution for Certain Quadruples in Quasi-Random Groups

Ist Teil von

• Combinatorics, probability & computing, 2015-03, Vol.24 (2), p.376-381

Ort / Verlag

Cambridge, UK: Cambridge University Press

Erscheinungsjahr

2015

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Bergelson and Tao have recently proved that if G is a D-quasi-random group, and x, g are drawn uniformly and independently from G, then the quadruple (g, x, gx, xg) is roughly equidistributed in the subset of G4 defined by the constraint that the last two coordinates lie in the same conjugacy class. Their proof gives only a qualitative version of this result. The present note gives a rather more elementary proof which improves this to an explicit polynomial bound in D−1.