THE ESSENTIAL RANK OF FUSION SYSTEMS OF BLOCKS OF SYMMETRIC GROUPS
2012 ◽
Vol 22
(01)
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pp. 1250002
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Let p be a prime and let B be a p-block of the symmetric group S(n) on n points. Let (D, bD) be a Sylow B-subgroup of S(n). We consider the fusion system [Formula: see text] and determine a precise formula for its essential rank. In addition, the p-blocks B which admit a p-local subgroup of S(n) controlling B-fusion are characterized.
1987 ◽
Vol 106
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pp. 143-162
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2019 ◽
Vol 169
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pp. 231-253
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2006 ◽
Vol 05
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pp. 817-837
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Vol 16
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pp. 1750025
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Vol 16
(04)
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pp. 1750065
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1955 ◽
Vol 7
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pp. 159-168
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Vol 19
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pp. 305-313
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