Projective polynomials

DOI10.1090/S0002-9939-97-03939-7zbMath0912.12004OpenAlexW4251913045MaRDI QIDQ4336633

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Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03939-7

zbMATH Keywords

Galois groupstrinomialsprojective polynomialsprojective linear groups

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Coverings of curves, fundamental group (14H30) Special polynomials in general fields (12E10)

Related Items (23)

Zeros with multiplicity, Hasse derivatives and linear factors of general skew polynomials ⋮ Galois theory of special trinomials ⋮ Classification of fractional projective permutations over finite fields ⋮ Twisted linearized Reed-Solomon codes: a skew polynomial framework ⋮ On \(x^{q+1}+ax+b\) ⋮ A characterization of the number of roots of linearized and projective polynomials in the field of coefficients ⋮ On Galois groups of linearized polynomials related to the general linear group of prime degree ⋮ Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification ⋮ Local fundamental groups of algebraic varieties ⋮ Resolution of singularities and modular Galois theory ⋮ Galois groups of some vectorial polynomials ⋮ Counting invariant subspaces and decompositions of additive polynomials ⋮ Solving \(X^{q+1}+X+a=0\) over finite fields ⋮ Galois groups of generalized iterates of generic vectorial polynomials. ⋮ The orders of nonsingular derivations of Lie algebras of characteristic two ⋮ Almost perfect nonlinear trinomials and hexanomials ⋮ Descent principle in modular Galois theory ⋮ On decoding additive generalized twisted Gabidulin codes ⋮ Theory and applications of linearized multivariate skew polynomials ⋮ The place of exceptional covers among all diophantine relations ⋮ Galois embeddings for linear groups ⋮ Equations of similitude ⋮ Symplectic groups and permutation polynomials. II

Cites Work

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• 2-transitive and antiflag transitive collineation groups of finite projective spaces
• Nice equations for nice groups
• Resolvents Of Certain Linear Groups In a Finite Field
• Coverings of Algebraic Curves
• Galois theory on the line in nonzero characteristic
• Local fundamental groups of algebraic varieties
• Again nice equations for nice groups
• More nice equations for nice groups
• Further Nice Equations for Nice Groups

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