Growth in SL_3(Z/pZ)

Details Growth in SL_3(Z/pZ) Growth in SL_3(Z/pZ)

2008-07-14

arxiv.org/abs/0807.2027v3

Mathematics

Group Theory

88 pages; Theorem 1.1 is new

Scientific paper

Let G=SL_3(Z/pZ), p a prime. Let A be a set of generators of G. Then A grows under the group operation. To be precise: denote by |S| the number of elements of a finite set S. Assume |A| < |G|^{1-\epsilon} for some \epsilon>0. Then |A\cdot A\cdot A|>|A|^{1+\delta}, where \delta>0 depends only on \epsilon. We also study subsets A\subset G that do not generate G. Other results on growth and generation follow.

Affiliated with

Also associated with

No associations

Rating

Growth in SL_3(Z/pZ) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Growth in SL_3(Z/pZ), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Growth in SL_3(Z/pZ) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442462