## On the number of conjugacy class sizes and character degrees in finite $p$-groups

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- by Gustavo A. Fernández-Alcober and Alexander Moretó PDF
- Proc. Amer. Math. Soc.
**129**(2001), 3201-3204 Request permission

## Abstract:

In this note we prove that for any two integers $r,s>1$ there exist finite $p$-groups $G$ of class $2$ such that $|\operatorname {cd}(G)|=r$ and $|\operatorname {cs}(G)|=s$.## References

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## Additional Information

**Gustavo A. Fernández-Alcober**- Affiliation: Departamento de Matemáticas, Universidad del País Vasco, 48080 Bilbao, Spain
- MR Author ID: 307028
- Email: mtpfealg@lg.ehu.es
**Alexander Moretó**- Affiliation: Departamento de Matemáticas, Universidad del País Vasco, 48080 Bilbao, Spain
- ORCID: 0000-0002-6914-9650
- Email: mtbmoqua@lg.ehu.es
- Received by editor(s): February 14, 2000
- Received by editor(s) in revised form: March 31, 2000
- Published electronically: March 29, 2001
- Additional Notes: Research of the second author was supported by a grant of the Basque Government and by the University of the Basque Country grant UPV 127.310-EB160/98.
- Communicated by: Stephen D. Smith
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**129**(2001), 3201-3204 - MSC (1991): Primary 20C15, 20D15
- DOI: https://doi.org/10.1090/S0002-9939-01-05946-9
- MathSciNet review: 1844993