Sets with small sumset and small periodic product-set

Description:  We characterize the pairs (A,B) of finite non-empty subsets of a field such that the product-set, AB, is periodic and both the sumset, A+B, and the product-set, AB, are as small as possible, that is, |A+B|=min{p, |A|+|B|-1} and |AB|=max{|A|,|B|}, where p is the characteristic of the underlying field in nonzero characteristic and p=+oo otherwise. Date:  2011-09-14 Start Time:   15:00 Speaker:  Cristina Caldeira (CMUC/Mat. FCTUC) Institution:  - Place:  Room 5.5 Research Groups: -Algebra and Combinatorics See more:   <Main>