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On the number of conjugacy classes of π-elements in a finite group*

Published online by Cambridge University Press:  14 November 2011

Antonio Vera López  and
Ma Concepción Larrea
Antonio Vera López
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, Bilbao, Spain
Ma Concepción Larrea
Affiliation:
Departamento de Matemáticas, Facultad de Económicas, Universidad del País Vasco, Apartado 644, Bilbao, Spain
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Synopsis

In this paper, the number of conjugacy classes of π-elements (respectively non π-elements) of G is analysed in terras of the corresponding numbers of G/N and N, for each N normal subgroup of G. In particular, we generalise well-known results of P. X. Gallagher and C. H. Sah.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 1-2 , 1987 , pp. 121 - 132
Copyright
Copyright © Royal Society of Edinburgh 1987

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References

1Gallagher, P. X.. The number of conjugacy classes in a finite group. Math. Z. 118 (1970), 175–179.CrossRefGoogle Scholar
2Sah, C. H.. Automorphisms of finite groups. J. Algebra 10 (1968), 47–68.CrossRefGoogle Scholar
3Vera-López, A.. Arithmetical conditions on the conjugacy vector of a finite group. Israel J. Math. 56 (1986), 179–187.CrossRefGoogle Scholar