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Periodic groups whose simple modules have finite central endomorphism dimension |
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| Authors: | Robert L Snider |
| Institution: | Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0123 |
| Abstract: | Theorem. If  is an uncountable field and  is a periodic group with no elements of order the characteristic of  and if all simple ![$ kG]$](http://www.ams.org/proc/2006-134-12/S0002-9939-06-08438-3/gif-abstract0/img4.gif){kind=small} modules have finite central endomorphism dimension, then  has an abelian subgroup of finite index. |
| Keywords: | Group rings periodic groups |
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