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Free quotients of |
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| Authors: | Sava Krstic James McCool |
| Affiliation: | Department of Mathematics, Tufts University, Medford, Massachusetts 02155 ; Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 1A1 |
| Abstract: | It is shown that if  is an integral domain which is not a field, and ![$U_2(R[x])$](http://www.ams.org/proc/1997-125-06/S0002-9939-97-03809-4/gif-abstract/img3.gif) is the subgroup of ![$SL_2(R[x])$](http://www.ams.org/proc/1997-125-06/S0002-9939-97-03809-4/gif-abstract/img4.gif) generated by all unipotent elements, then the quotient group ![$SL_2(R[x])/U_2(R[x])$](http://www.ams.org/proc/1997-125-06/S0002-9939-97-03809-4/gif-abstract/img5.gif) has a free quotient of infinite rank. |
| Keywords: | |
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