A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2010; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Abelian groups with layered tiles and the sumset phenomenon

2002
*
Transactions of the American Mathematical Society
*

We prove a generalization of the main theorem in [4] about the sumset phenomenon in the setting of an abelian group with layered tiles of cell measures. Then we give some applications of the theorem for multi-dimensional cases of the sumset phenomenon. Several examples are given in order to show that the applications obtained are not vacuous and cannot be improved in various directions. We also give a new proof of Shnirel'man's theorem to illustrate a different approach to some combinatorial

doi:10.1090/s0002-9947-02-03140-9
fatcat:wygnlglqe5hcrjyqt63aql6gy4