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- W2045988160 abstract "In this paper we use duality to construct new classes of Hopf orders in the group algebra <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper K upper C Subscript p cubed> <mml:semantics> <mml:mrow> <mml:mi>K</mml:mi> <mml:msub> <mml:mi>C</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>p</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:msub> </mml:mrow> <mml:annotation encoding=application/x-tex>KC_{p^3}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, where <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper K> <mml:semantics> <mml:mi>K</mml:mi> <mml:annotation encoding=application/x-tex>K</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is a finite extension of <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper Q Subscript p> <mml:semantics> <mml:msub> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>Q</mml:mi> </mml:mrow> <mml:mi>p</mml:mi> </mml:msub> <mml:annotation encoding=application/x-tex>mathbb {Q}_p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Subscript p cubed> <mml:semantics> <mml:msub> <mml:mi>C</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:msup> <mml:mi>p</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> </mml:msub> <mml:annotation encoding=application/x-tex>C_{p^3}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> denotes the cyclic group of order <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p cubed> <mml:semantics> <mml:msup> <mml:mi>p</mml:mi> <mml:mn>3</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>p^3</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. Included in this collection is a subcollection of Hopf orders which are realizable as Galois groups." @default.
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- W2045988160 date "2005-04-22" @default.
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- W2045988160 title "Duality for Hopf orders" @default.
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