On Brauer’s height 0 conjecture
1988 ◽
Vol 109
◽
pp. 109-116
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Keyword(s):
R. Brauer not only laid the foundations of modular representation theory of finite groups, he also raised a number of questions and made conjectures (see [1], [2] for instance) which since then have attracted the interest of many people working in the field and continue to guide the research efforts to a good extent. One of these is known as the “Height zero conjecture”. It may be stated as follows: CONJECTURE. Let B be a p-block of the finite group G. All irreducible ordinary characters of G belonging to B are of height 0 if and only if a defect group of B is abelian.
1991 ◽
Vol 43
(4)
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pp. 792-813
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1998 ◽
pp. 177-198
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1996 ◽
Vol 120
(4)
◽
pp. 589-595
1990 ◽
Vol 319
(2)
◽
pp. 417-468
◽
1999 ◽
Vol 1999
(511)
◽
pp. 145-191
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2001 ◽
Vol 64
(2)
◽
pp. 472-488
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1990 ◽
Vol 319
(2)
◽
pp. 417
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