Product decompositions of quasirandom groups and a Jordan type theorem

We first note that a result of Gowers on product-free sets in groups has an unexpected consequence: If k is the minimal degree of a representation of the finite group G, then for every subset B of G with $|B| > |G| / k^{1/3}$ we have B^3 = G. We use this to obtain improved versions of recen...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Nikolov, N, Pyber, L
Aineistotyyppi: Journal article
Kieli:English
Julkaistu: 2007