Invariants of the dihedral group D2p in characteristic two
2011 ◽
Vol 152
(1)
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pp. 1-7
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AbstractWe consider finite dimensional representations of the dihedral group D2p over an algebraically closed field of characteristic two where p is an odd prime and study the degrees of generating and separating polynomials in the corresponding ring of invariants. We give an upper bound for the degrees of the polynomials in a minimal generating set that does not depend on p when the dimension of the representation is sufficiently large. We also show that p + 1 is the minimal number such that the invariants up to that degree always form a separating set. We also give an explicit description of a separating set.
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2019 ◽
Vol 19
(08)
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pp. 2050158
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2013 ◽
Vol 89
(2)
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pp. 234-242
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2011 ◽
Vol 11
(2)
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pp. 221-271
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2004 ◽
Vol 77
(1)
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pp. 123-128
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2010 ◽
Vol 09
(01)
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pp. 11-15
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1985 ◽
Vol 37
(1)
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pp. 122-140
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