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Copyright © 2011 Claremont Center for the Mathematical Sciences

10/06/2009 - 12:15pm

10/06/2009 - 1:10pm

Speaker:

Bogdan Petrenko (SUNY Brockport)

Abstract:

Let A be a ring whose additive group is free abelian of finite rank. The topic of this talk is the following question: what is the probability that k random elements of A generate it as a ring? After making this question precise I will show that it has an interesting answer which can be interpreted as a local-global principle. (This is joint work with Rostyslav Kravchenko and Marcin Mazur.)

Where:

Millikan 208 (Pomona College)