Christopher Herbig

most citedAnswer to a Question of Hung and Tiep on Conductors of Cyclotomic Integers

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math.GR2026

On a question of Navarro on the field of values of characters of solvable groups

Christopher Herbig

In a 2023 survey paper, Gabriel Navarro posed the following problem: Given an irreducible character $χ$ of some solvable group $G$ where $χ$ either is 2-rational or has odd degree,…

math.GR2026

A Determination of $B$ -groups of Order $p^{4}$

Christopher Herbig

A group $H$ is said to be a $B$ -group if whenever a primitive permutation group $G$ contains a regular subgroup isomorphic to $H$ , then $G$ is doubly transitive. Going as far back…

math.GR2025

On Generalized Characters Whose Values on Nonidentity Elements are Sums of at Most Two Roots of Unity

Christopher Herbig

A character of a finite group having degree $n$ takes values which may be expressed as sums of $n$ or fewer roots of unity. In this note, we prove a result which describes the irre…

math.GR2025

A Block-theoretic Proof of Burnside's Normal $p$ -complement Theorem

Christopher Herbig

In [3, Theorem 6.7B], the authors use the Main Theorems of Brauer to give a proof of Burnside's Normal $p$ -complement Theorem. Unfortunately, the proof contains an error. We take t…

On a question of Navarro on the field of values of characters of solvable groups

A Determination of B-groups of Order p4

On Generalized Characters Whose Values on Nonidentity Elements are Sums of at Most Two Roots of Unity

A Block-theoretic Proof of Burnside's Normal p-complement Theorem

A Determination of $B$ -groups of Order $p^{4}$

A Block-theoretic Proof of Burnside's Normal $p$ -complement Theorem