Proceedings of the American Mathematical Society

Author(s): Gustavo A. Fernández-Alcober; Alexander Moretó
Journal: Proc. Amer. Math. Soc. 129 (2001), 3201-3204.
MSC (1991): Primary 20C15, 20D15
Posted: March 29, 2001
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In this note we prove that for any two integers

there exist finite

-groups

of class

such that $\vert\operatorname{cd}(G)\vert=r$ and $\vert\operatorname{cs}(G)\vert=s$ .

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Gustavo A. Fernández-Alcober
Affiliation: Departamento de Matemáticas, Universidad del País Vasco, 48080 Bilbao, Spain
Email: mtpfealg@lg.ehu.es

Alexander Moretó
Affiliation: Departamento de Matemáticas, Universidad del País Vasco, 48080 Bilbao, Spain
Email: mtbmoqua@lg.ehu.es

DOI: 10.1090/S0002-9939-01-05946-9
PII: S 0002-9939(01)05946-9
Received by editor(s): February 14, 2000
Received by editor(s) in revised form: March 31, 2000
Posted: 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 of article: Copyright 2001, American Mathematical Society

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