Kronecker conjugacy of polynomials

DOI10.1090/S0002-9947-98-02123-0zbMath0894.11006MaRDI QIDQ4382984

Peter Müller

Publication date: 24 March 1998

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

zbMATH Keywords

primitive permutation groupsmonodromy groupsindecomposable polynomialsKronecker conjugacypolynomial values (mod \(p\))

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) Finite simple groups and their classification (20D05) Polynomials (irreducibility, etc.) (11R09) Multiply transitive finite groups (20B20) Characterization theorems for permutation groups (20B10)

Related Items

Variables separated equations: strikingly different roles for the branch cycle lemma and the finite simple group classification, An infinite series of Kronecker conjugate polynomials, Preservation of the residual classes numbers by polynomials, The place of exceptional covers among all diophantine relations

Uses Software

• GAP

Cites Work

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• Subgroups inducing the same permutation representation
• Zeroes of permutation characters with applications to prime splitting and Brauer groups
• On Hilbert's irreducibility theorem
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• Kronecker classes of algebraic number fields
• On symmetric balanced incomplete block designs with doubly transitive automorphism groups
• The transitive groups of degree twelve
• Extension of constants, rigidity, and the Chowla-Zassenhaus conjecture
• On a question of Davenport
• On a conjecture of Schur
• On the invariance of chains of fields
• The field of definition of function fields and a problem in the reducibility of polynomials in two variables
• A conjecture of Chowla
• Konstruktion von Zahl- und Funktionenkörpern mit vorgegebener Galoisgruppe.
• The transitive groups of degree up to eleven⁺
• On a Question of W. Jehne Concerning Covering Subgroups of Groups and Kronecker Classes of Fields
• Zahlkörper mit gleicher Primzerlegung.