Group structure and properties of block ideals of the group algebra
1975 ◽
Vol 16
(1)
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pp. 22-28
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Keyword(s):
In this note relations between the structure of a finite group G and ringtheoretical properties of the group algebra FG over a field F with characteristic p > 0 are investigated. Denoting by J(R) the Jacobson radical and by Z(R) the centre of the ring R, our aim is to prove the following theorem generalizing results of Wallace [10] and Spiegel [9]:Theorem. Let G be a finite group and let F be an arbitrary field of characteristic p > 0. Denoting by BL the principal block ideal of the group algebra FG the following statements are equivalent:(i) J(B1) ≤ Z(B1)(ii) J(B1)is commutative,(iii) G is p-nilpotent with abelian Sylowp-subgroups.
1979 ◽
Vol 20
(1)
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pp. 63-68
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Keyword(s):
2010 ◽
Vol 09
(02)
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pp. 305-314
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Keyword(s):
1982 ◽
Vol 25
(1)
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pp. 69-71
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Keyword(s):
2015 ◽
Vol 14
(06)
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pp. 1550085
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Keyword(s):
1968 ◽
Vol 16
(2)
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pp. 127-134
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Keyword(s):
Keyword(s):
1979 ◽
Vol 75
(1)
◽
pp. 13-13
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Keyword(s):
1979 ◽
Vol 28
(3)
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pp. 335-345
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