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- Burkhardt_quartic abstract "In mathematics, the Burkhardt quartic is a quartic threefold in 4-dimensional projective space studied by Burkhardt (1890, 1891, 1892), with the maximum possible number of 45 nodes.The equations defining the Burkhardt quartic become simpler if it is embedded in P5 rather than P4.In this case it can be defined by the equations σ1 = σ4 = 0, where σi is the ith elementary symmetric function of the coordinates (x0 : x1 : x2 : x3 : x4 : x5) of P5.The automorphism group of the Burkhardt quartic is the Burkhardt group U4(2) = PSp4(3), a simple group of order 25920, which is isomorphic to a subgroup of index 2 in the Weyl group of E6.".
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- Burkhardt_quartic wikiPageWikiLink Category:Threefolds.
- Burkhardt_quartic wikiPageWikiLink Elementary_symmetric_function.
- Burkhardt_quartic wikiPageWikiLink Elementary_symmetric_polynomial.
- Burkhardt_quartic wikiPageWikiLink Mathematische_Annalen.
- Burkhardt_quartic wikiPageWikiLink Quartic_threefold.
- Burkhardt_quartic wikiPageWikiLink Springer-Verlag.
- Burkhardt_quartic wikiPageWikiLink Springer_Science+Business_Media.
- Burkhardt_quartic wikiPageWikiLink Weyl_group.
- Burkhardt_quartic wikiPageWikiLinkText "Burkhardt quartic".
- Burkhardt_quartic authorlink "Heinrich Burkhardt".
- Burkhardt_quartic hasPhotoCollection Burkhardt_quartic.
- Burkhardt_quartic last "Burkhardt".
- Burkhardt_quartic title "Burkhardt quartic".
- Burkhardt_quartic urlname "BurkhardtQuartic".
- Burkhardt_quartic wikiPageUsesTemplate Template:Citation.
- Burkhardt_quartic wikiPageUsesTemplate Template:Harvs.
- Burkhardt_quartic wikiPageUsesTemplate Template:Mathworld.
- Burkhardt_quartic year "1890".
- Burkhardt_quartic year "1891".
- Burkhardt_quartic year "1892".
- Burkhardt_quartic subject Category:Threefolds.
- Burkhardt_quartic hypernym Function.
- Burkhardt_quartic type ProgrammingLanguage.
- Burkhardt_quartic type Variety.
- Burkhardt_quartic comment "In mathematics, the Burkhardt quartic is a quartic threefold in 4-dimensional projective space studied by Burkhardt (1890, 1891, 1892), with the maximum possible number of 45 nodes.The equations defining the Burkhardt quartic become simpler if it is embedded in P5 rather than P4.In this case it can be defined by the equations σ1 = σ4 = 0, where σi is the ith elementary symmetric function of the coordinates (x0 : x1 : x2 : x3 : x4 : x5) of P5.The automorphism group of the Burkhardt quartic is the Burkhardt group U4(2) = PSp4(3), a simple group of order 25920, which is isomorphic to a subgroup of index 2 in the Weyl group of E6.".
- Burkhardt_quartic label "Burkhardt quartic".
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- Burkhardt_quartic sameAs Q4999000.
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