Cover Image

On the monogenicity and Galois groups of $\boldsymbol{x^{2p}+ax^p+b^p}$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Harrington, Joshua, 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

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

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

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

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

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

Monogenic even sextic trinomials and their Galois groups
by: Jones, Lenny
Published: (2026)

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

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)

Elementary characterization for Galois groups of $x^{12}+ax^6+b$
by: Chen, Malcolm Hoong Wai
Published: (2024)

On the monogenity of quartic number fields defined by $x^4+ax^2+b$
by: Fadil, Lhoussain El, et al.
Published: (2022)

Recovering p-adic valuations from pro-p Galois groups
by: Koenigsmann, Jochen, et al.
Published: (2015)

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

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

On common index divisors and monogenity of of the nonic number field defined by a trinomial $x^9+ax+b$
by: Yakkou, Hamid Ben, et al.
Published: (2022)

Hopf-Galois module structure of degree p extensions of p-adic fields
by: Gil-Muñoz, Daniel
Published: (2024)

On common index divisors and monogenity of certain number fields defined by trinomials of type $x^{2^r}+ax^m+b$
by: Yakkou, Hamid Ben
Published: (2022)

The Galois Group of $x^{2p}+bx^p+c^p$ over $\mathbb{Q}$
by: Jim, Akash, et al.
Published: (2024)

Modularity of certain mod $p^n$ Galois representations
by: Adibhatla, Rajender
Published: (2013)

Galois scaffolds for extraspecial p-extensions in characteristic 0
by: Keating, Kevin, et al.
Published: (2024)

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

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

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

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

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

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)

Moduli stacks of Galois representations and the $p$-adic local Langlands correspondence for $\mathrm{GL}_2(\mathbb{Q}_p)$
by: Johansson, Christian, et al.
Published: (2024)

On the $p$-ranks of class groups of certain Galois extensions
by: Asarhasa, Ufuoma, et al.
Published: (2024)

$p$-group Galois covers of curves in characteristic $p$ II
by: Garnek, Jędrzej
Published: (2023)

On S-Split p-Hilbert Class Field Towers with Prescribed Galois Groups
by: Maire, Christian, et al.
Published: (2025)

Computing Selmer groups associated to mod p Galois representations
by: Combes, Lewis
Published: (2025)

Extremal weights and a tameness criterion for mod $p$ Galois representations
by: Le, Daniel, et al.
Published: (2022)

Construction of a cyclic $p$-extension of number fields whose unit group has prescribed Galois module structure
by: Ozaki, Manabu
Published: (2025)

On the Lebesgue-Nagell equation $x^2-2 = y^p$
by: Katz, Ethan, et al.
Published: (2025)

Sums of binomial coefficients modulo $p$ and groups of exponent $p^n$
by: Szechtman, Fernando
Published: (2024)

Gelfand-Kirillov dimension for mod $p$ representations of $p$-adic unitary groups of rank 2
by: Koziol, Karol, et al.
Published: (2023)

Revisiting the equation $x^2+y^3=z^p$
by: Freitas, Nuno, et al.
Published: (2025)

Algebraic norm and capitulation of p-class groups in ramified cyclic p-extensions
by: Gras, Georges
Published: (2022)