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Finite groups with two p-regular conjugacy class lengths

Published online by Cambridge University Press:  17 April 2009

Antonio Beltrán  and
María José Felipe
Antonio Beltrán
Affiliation:
Departamento de Matemáticas, Universidad Jaume I, 12071 Castellón, Spain, e-mail: abeltran@mat.uji.es
María José Felipe
Affiliation:
Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain, e-mail: mfelipe@mat.upv.es
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Abstract

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Let G be a finite p-solvable group for a fixed prime p. We determine the structure of G when the set of p-regular conjugacy class sizes of G is {1, m} for an arbitrary integer m > 1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 163 - 169
Copyright
Copyright © Australian Mathematical Society 2003

References

REFERENCES

[1]Beltrán, A. and Felipe, M.J., ‘On the diameter of a p-regular conjugacy class graph of finite groups’, Comm. Algebra 30 (2002), 5861–5873.CrossRefGoogle Scholar
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[4]Ito, N., ‘On finite groups with given conjugate type I’, Nagoya Math. J. 6 (1953), 17–28.Google Scholar