CONTROL OF FUSION IN FUSION SYSTEMS
2006 ◽
Vol 05
(06)
◽
pp. 817-837
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Keyword(s):
Let P be a p-group and [Formula: see text] a fusion system on P. The aim of this paper is to give necessary and sufficient conditions on a subgroup Q of P for the normalizer [Formula: see text] to be [Formula: see text] itself. This generalizes a result of Gilotti and Serena on finite groups. As an application we find some classes of resistant p-groups, which are p-groups P such that the normalizer [Formula: see text] is equal to [Formula: see text], for any fusion system [Formula: see text] on P.
1988 ◽
Vol 30
(3)
◽
pp. 271-274
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2018 ◽
Vol 19
(2)
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pp. 212-216
1994 ◽
Vol 17
(4)
◽
pp. 821-824
1987 ◽
Vol 36
(3)
◽
pp. 461-468
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2018 ◽
Vol 17
(01)
◽
pp. 1850005
2016 ◽
Vol 16
(08)
◽
pp. 1750160
1992 ◽
Vol 45
(3)
◽
pp. 453-462
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2008 ◽
Vol 07
(05)
◽
pp. 663-670
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1980 ◽
Vol 32
(5)
◽
pp. 1266-1269
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