期刊
ANNALS OF MATHEMATICS
卷 167, 期 2, 页码 601-623出版社
Princeton Univ, Dept Mathematics
DOI: 10.4007/annals.2008.167.601
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资金
- Centre de Recherches Mathematiques at Montreal
- Clay Mathematics Institute
We show that every subset of SL2(Z/pZ) grows rapidly when it acts on itself by the group operation. It follows readily that, for every set of generators A of SL2(Z/pZ), every element of SL2(Z/pZ) can be expressed as a product of at most O((logp)(c)) elements of A boolean OR A(-1), where c and the implied constant are absolute.
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