A dual version of Huppert's ρ-σ conjecture for character codegrees
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Alexander Moretó
Abstract
We classify the finite groups with the property that any two different character codegrees are coprime. In general,
we conjecture that if k is a positive integer such that for any prime p the number of character codegrees of a finite group G that are divisible by p is at most k, then the number of prime divisors of
Funding source: Ministerio de Ciencia e Innovación
Award Identifier / Grant number: PID2019-103854GB-I00
Funding source: Generalitat Valenciana
Award Identifier / Grant number: AICO/2020/298
Funding statement: Research supported by Ministerio de Ciencia e Innovación (Grant PID2019-103854GB-I00 funded by MCIN/AEI/10.13039/501100011033) and Generalitat Valenciana AICO/2020/298.
Acknowledgements
I thank the referee for his/her careful reading of the paper and helpful comments.
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On the variance of the nodal volume of arithmetic random waves
- On length densities
- On weighted compactness of commutators of bilinear maximal Calderón–Zygmund singular integral operators
- Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities
- On cutting blocking sets and their codes
- Inertia groups and smooth structures on quaternionic projective spaces
- On the number of zeros of diagonal quartic forms over finite fields
- Weak martingale Hardy-type spaces associated with quasi-Banach function lattice
- A dual version of Huppert's ρ-σ conjecture for character codegrees
- A topological correspondence between partial actions of groups and inverse semigroup actions
- On homotopy braids
- Holomorphic convexity of pseudoconvex spaces in terms of the rank of structural sheaf
- The Shintani double zeta functions
- Homological dimensions relative to preresolving subcategories II
- Simplicity of indecomposable set-theoretic solutions of the Yang–Baxter equation
- A converse theorem for quasimodular forms
Artikel in diesem Heft
- Frontmatter
- On the variance of the nodal volume of arithmetic random waves
- On length densities
- On weighted compactness of commutators of bilinear maximal Calderón–Zygmund singular integral operators
- Geometric nilpotent Lie algebras and zero-dimensional simple complete intersection singularities
- On cutting blocking sets and their codes
- Inertia groups and smooth structures on quaternionic projective spaces
- On the number of zeros of diagonal quartic forms over finite fields
- Weak martingale Hardy-type spaces associated with quasi-Banach function lattice
- A dual version of Huppert's ρ-σ conjecture for character codegrees
- A topological correspondence between partial actions of groups and inverse semigroup actions
- On homotopy braids
- Holomorphic convexity of pseudoconvex spaces in terms of the rank of structural sheaf
- The Shintani double zeta functions
- Homological dimensions relative to preresolving subcategories II
- Simplicity of indecomposable set-theoretic solutions of the Yang–Baxter equation
- A converse theorem for quasimodular forms
