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FINITE CONJUGACY IN ALGEBRAS AND ORDERS
Published online by Cambridge University Press: 20 January 2009
Abstract
Herstein showed that the conjugacy class of a non-central element in the multiplicative group of a division ring is infinite. We prove similar results for units in algebras and orders and give applications to group rings.
AMS 2000 Mathematics subject classification: Primary 16U60. Secondary 16H05; 16S34; 20F24; 20C05
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 44 , Issue 1 , February 2001 , pp. 201 - 213
- Copyright
- Copyright © Edinburgh Mathematical Society 2001
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