Injective modules for group algebras of locally finite groups
1978 ◽
Vol 84
(2)
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pp. 247-262
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Two recent results relate the existence of injective modules for group algebras which are ‘small’ in some sense to the structure of the group.(1) The trivial kG-module is injective if and only if G is a locally finite group with no elements of order p = char k (9).(2) If (G) is a countable group, then every irreducible kG-module is injective if and only if G is a locally finite p′ group which is abelian-by-finite (9) and (11)
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1974 ◽
Vol 75
(1)
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pp. 1-22
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Keyword(s):
1987 ◽
Vol 36
(3)
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pp. 461-468
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2013 ◽
Vol 89
(3)
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pp. 479-487
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Keyword(s):
2019 ◽
Vol 18
(12)
◽
pp. 1950223
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1975 ◽
Vol 78
(2)
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pp. 215-226
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