Robinson’s conjecture on heights of characters
2019 ◽
Vol 155
(6)
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pp. 1098-1117
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Geoffrey Robinson conjectured in 1996 that the $p$-part of character degrees in a $p$-block of a finite group can be bounded in terms of the center of a defect group of the block. We prove this conjecture for all primes $p\neq 2$ for all finite groups. Our argument relies on a reduction by Murai to the case of quasi-simple groups which are then studied using deep results on blocks of finite reductive groups.
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2016 ◽
Vol 09
(03)
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pp. 1650054
1989 ◽
Vol 39
(2)
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pp. 249-254
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2019 ◽
Vol 18
(12)
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pp. 1950230
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2010 ◽
Vol 150
(1)
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pp. 47-71
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2013 ◽
Vol 13
(02)
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pp. 1350100
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2016 ◽
Vol 162
(2)
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pp. 353-365
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