External Paradoxical Decompositions |
| |
Authors: | John Donnelly |
| |
Affiliation: | (1) Department of Mathematics, Mount Union College, 1972 Clark Avenue, Alliance, OH 44601, USA |
| |
Abstract: | Ore's condition states that a cancellative semigroup S which has common right multiples embeds into a group G such that certain properties are satisfied by S and G. We show that G is nonamenable if and only if the semigroup S-1 is G-paradoxical with respect to right multiplication by elements of S. We explore certain properties of this decomposition of S-1. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|