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- W2993612462 abstract "We compute generic polynomials for certain transitive permuta- tion groups of degree 8 and 9, namely SL(2,3), the generalized dihedral group: C2 ⋉ (C3 × C3), and the Iwasawa group of order 16: M16. Rikuna proves the ex- istence of a generic polynomial for SL(2,3) in four parameters in (13); we extend a computation of Grobner in (5) to give an alternative proof of existence for this group's generic polynomial. We establish that the generic dimension and essential dimension of the generalized dihedral group are two. We establish over the rationals that the generic dimension and essential dimension of SL(2,3) and M16 are four." @default.
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- W2993612462 date "2013-01-01" @default.
- W2993612462 modified "2023-10-16" @default.
- W2993612462 title "Generic Polynomials for Transitive Permutation Groups of Degree 8 and 9" @default.
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