RESTRICTING GLOBALLY-DEFINED MACKEY FUNCTORS TO NILPOTENT FINITE GROUPS
2008 ◽
Vol 07
(01)
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pp. 1-19
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Keyword(s):
Let B be the Burnside ring considered as a globally-defined Mackey functor, and k be a field of positive characteristic q. We prove that, when k ⊗ℤ B is restricted to nilpotent groups of order prime to q, the only simple Mackey functors that can appear as subquotients of it are of the form SE,k, where E is the direct product of elementary abelian p-groups. In the special case k = 𝔽2, the simple Mackey functor SE,𝔽2 must appear as a filtration factor in 𝔽2 ⊗ℤ B for every direct product of elementary abelian p-groups E of odd order.
1960 ◽
Vol 12
◽
pp. 73-100
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Keyword(s):
2018 ◽
Vol 17
(04)
◽
pp. 1850065
1983 ◽
Vol 35
(1)
◽
pp. 59-73
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Keyword(s):
1974 ◽
Vol 17
(2)
◽
pp. 142-153
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Keyword(s):
2014 ◽
Vol 150
(6)
◽
pp. 979-998
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2010 ◽
Vol 06
(07)
◽
pp. 1541-1564
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1983 ◽
Vol 35
(1)
◽
pp. 109-122
2019 ◽
Vol 2019
(755)
◽
pp. 293-312