Modular Representations of Finite Groups
with Unsaturated Split (B,N)-Pairs
1980 ◽
Vol 32
(3)
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pp. 714-733
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Keyword(s):
1. Introduction.Let p be a prime number. A finite group G = (G, B, N, R, U) is called a split(B, N)-pair of characteristic p and rank n if(i) G has a (B, N)-pair (see [3, Definition 2.1, p. B-8]) where H= B ⋂ N and the Weyl group W= N/H is generated by the set R= ﹛ω 1,… , ω n) of “special generators.”(ii) H= ⋂n∈N n-1Bn(iii) There exists a p-subgroup U of G such that B = UH is a semidirect product, and H is abelian with order prime to p.A (B, N)-pair satisfying (ii) is called a saturated (B, N)-pair. We call a finite group G which satisfies (i) and (iii) an unsaturated split (B, N)- pair. (Unsaturated means “not necessarily saturated”.)
1981 ◽
Vol 22
(2)
◽
pp. 151-154
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1990 ◽
Vol 32
(3)
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pp. 341-347
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Keyword(s):
2008 ◽
Vol 07
(06)
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pp. 735-748
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Keyword(s):
Keyword(s):
1981 ◽
Vol 22
(1)
◽
pp. 89-99
◽
2001 ◽
Vol 64
(2)
◽
pp. 472-488
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2013 ◽
Vol 88
(3)
◽
pp. 448-452
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Keyword(s):
1992 ◽
Vol 02
(01)
◽
pp. 103-116
1988 ◽
Vol 38
(2)
◽
pp. 207-220
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Keyword(s):