• Corpus ID: 240353912

Codegrees of primitive characters of solvable groups

@inproceedings{Jin2021CodegreesOP,
  title={Codegrees of primitive characters of solvable groups},
  author={Ping Jin and Lei Wang and Yong Yang},
  year={2021}
}
We obtain the codegree of a certain primitive character for a finite solvable group, and thereby give a negative answer to a question proposed by Moretó in [8]. 

References

SHOWING 1-9 OF 9 REFERENCES
Co-degrees of irreducible characters in finite groups☆
AN ANALOGUE OF HUPPERT’S CONJECTURE FOR CHARACTER CODEGREES
Abstract Let G be a finite group, let ${\mathrm{Irr}}(G)$ be the set of all irreducible complex characters of G and let $\chi \in {\mathrm{Irr}}(G)$ . Define the codegrees, ${\mathrm{cod}}(\chi
Character Theory of Finite Groups, Acdemic press
  • New York,
  • 1976
A note on element orders and character codegrees
The result of this note is as follows. If a finite solvable group has an element of order m, then the group has an irreducible character whose codegree contains all prime divisors of m.
On character degrees quotients
Element orders and character codegrees
Let $${g \in G}$$ , where G is an arbitrary finite group. Then there exists $${\chi \in {\rm Irr} (G)}$$ such that $${{\rm ker}(\chi) \cap \langle g \rangle = 1}$$ and every prime divisor of the
ON THE CHARACTERS OF ¿-SOLVABLE GROUPS
Introduction. In the theory of group characters, modular representation theory has explained some of the regularities in the behavior of the irreducible characters of a finite group; not
Representations of Solvable Groups, London Mathematical Society, Lecture Notes Series 185
  • 1993