Cover Image

Monogenic even sextic trinomials and their Galois groups

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Jones, Lenny
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Monogenic sextic trinomials $x^6+Ax^3+B$ and their Galois groups
by: Harrington, Joshua, et al.
Published: (2025)

Monogenic trinomials of the form $x^4+ax^3+d$ and their Galois groups
by: Harrington, Joshua, et al.
Published: (2024)

Monogenic trinomials and class numbers of related quadratic fields
by: Jones, Lenny
Published: (2024)

Monogenic cyclic trinomials of the form $x^4+cx+d$
by: Jones, Lenny
Published: (2024)

Monogenic Reciprocal Quartic Polynomials And Their Galois Groups
by: Jones, Lenny
Published: (2025)

Monogenic Even Octic Polynomials and Their Galois Groups
by: Jones, Lenny
Published: (2024)

Characterizing monogenic trinomials $\boldsymbol{x^{12}+ax^6+b}$ according to their Galois groups
by: Jones, Lenny
Published: (2026)

Monogenic Quartic Polynomials and Their Galois Groups
by: Harrington, Joshua, et al.
Published: (2024)

Wieferich Primes and Monogenic Trinomials
by: Jones, Lenny
Published: (2026)

Monogenic Strictly-Perron Polynomials
by: Jones, Lenny
Published: (2025)

Monogenic Cyclic Cubic Trinomials
by: Jones, Lenny
Published: (2024)

Monogenic Cyclic Quartic Trinomials
by: Jones, Lenny
Published: (2024)

A Note on Abelian Monogenic Trinomials
by: Jones, Lenny
Published: (2026)

Monogenic Even Cyclic Sextic Polynomials
by: Jones, Lenny
Published: (2025)

The Monogenicity of Power-Compositional Characteristic Polynomials
by: Jones, Lenny
Published: (2023)

The monogenicity and Galois groups of certain reciprocal quintinomials
by: Jones, Lenny
Published: (2024)

Monogenic Cyclic Polynomials in Recurrence Sequences
by: Harrington, Joshua, et al.
Published: (2025)

On the monogenicity and Galois groups of $\boldsymbol{x^{2p}+ax^p+b^p}$
by: Harrington, Joshua, et al.
Published: (2026)

Galois representations for even general special orthogonal groups
by: Kret, Arno, et al.
Published: (2020)

Some new results on permutation trinomials over finite fields with even characteristic
by: Garg, Kirpa, et al.
Published: (2025)

The spin of prime ideals and level-raising of even Galois representations
by: Fischer, Marius, et al.
Published: (2025)

On Monogeneity of reciprocal polynomials
by: Barman, Rupam, et al.
Published: (2026)

Supercongruences for central trinomial coefficients
by: Pan, Hao, et al.
Published: (2020)

Galois groups of certain even octic polynomials
by: Chen, Malcolm Hoong Wai, et al.
Published: (2022)

Four new classes of permutation trinomials and their compositional inverses
by: Hasan, Sartaj Ul, et al.
Published: (2025)

Eisenstein-prime Obstruction Sieve for Monogenicity
by: Nguyen-Dang, Khai-Hoan
Published: (2026)

On the Monogenity of Polynomials with Non-Squarefree Discriminants
by: Barman, Rupam, et al.
Published: (2025)

Galois groups of random integer matrices
by: Anderson, Theresa C., et al.
Published: (2025)

On cubic polynomials with the cyclic Galois group
by: Kochetkov, Yury
Published: (2024)

Free product of Demushkin groups as absolute Galois group
by: Bar-On, Tamar
Published: (2024)

The residual monodromy for the Dwork family in even characteristic and its applications to Galois representations
by: Yamauchi, Takuya
Published: (2025)

Normal bases of small height in Galois number fields
by: Fukshansky, Lenny, et al.
Published: (2026)

On local Galois deformation rings: generalised reductive groups
by: Paškūnas, Vytautas, et al.
Published: (2024)

Simple Lie Groups of type An as Galois groups over Q
by: Nesterov, Stepan
Published: (2026)

On the dynamical Galois group of certain affine polynomials in positive characteristic
by: Ferraguti, Andrea, et al.
Published: (2026)

Galois groups of random polynomials over the rational function field
by: Entin, Alexei
Published: (2024)

On the influence of the Galois group structure on the Chebyshev bias in number fields
by: Hayani, Mounir
Published: (2024)

Galois groups of reductions modulo p of D-finite series
by: Caruso, Xavier, et al.
Published: (2025)

On even $K$-groups of rings of integers of real abelian fields
by: Lim, Meng Fai, et al.
Published: (2025)

On the flatness of spin local models for split even orthogonal groups
by: Yang, Jie
Published: (2025)