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Periodic groups whose simple modules have finite central endomorphism dimension
Author(s):
Robert
L.
Snider
Journal:
Proc. Amer. Math. Soc.
134
(2006),
3485-3486.
MSC (2000):
Primary 16S34, 20C07
Posted:
June 19, 2006
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Abstract:
Theorem. If  is an uncountable field and  is a periodic group with no elements of order the characteristic of  and if all simple ![$ k[G]$](/proc/2006-134-12/S0002-9939-06-08438-3/gif-abstract0/img4.gif) modules have finite central endomorphism dimension, then  has an abelian subgroup of finite index.
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Additional Information:
Robert
L.
Snider
Affiliation:
Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061-0123
Email:
snider@math.vt.edu
DOI:
10.1090/S0002-9939-06-08438-3
PII:
S 0002-9939(06)08438-3
Keywords:
Group rings,
periodic groups
Received by editor(s):
June 16, 2005 and, in revised form, July 19, 2005
Posted:
June 19, 2006
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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