External Paradoxical Decompositions

详细信息    查看全文

• 作者：John Donnelly
• 刊名：Semigroup Forum
• 出版年：2007
• 出版时间：September, 2007
• 年：2007
• 卷：75
• 期：1
• 页码：160-172
• 全文大小：434 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Algebra
  
• 出版者：Springer New York
• ISSN：1432-2137

文摘

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.