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A nonabelian Frobenius–Wielandt complement

Published online by Cambridge University Press:  20 January 2009

Alberto Espuelas
Alberto Espuelas
Affiliation:
Departamento de AlgebraFacultad de CienciasUniversidad de ZaragozaZaragoza, Spain
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We recall the following definition (see [1]):

A finite group G is said to be a Frobenius–Wielandt group provided that there exists a proper subgroup H of G and a proper normal subgroup N of H such that H∩Hg≦N if g∈G–H. Then H/N is said to be the complement of (G, H, N) (see [1] for more details and notation).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 1 , February 1988 , pp. 67 - 69
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

REFERENCES

1.Espuelas, A., The complement of a Frobenius–Wielandt group, Proc. London Math. Soc. (3) 48 (1984), 564–576.CrossRefGoogle Scholar
2.Lou, B. and Passman, D. S., Generalized Frobenius Complements, Proc. Amer. Math. Soc. 17 (1966), 1166–1172.CrossRefGoogle Scholar
3.Scoppola, C. M., On Generalized Frobenius Complements, Proceedings of Groups–St. Andrews 1985, (Eds., Robertson, E. F. and Campbell, C. M., Cambridge University Press, Cambridge, 1986), 305–306.Google Scholar
4.Scoppola, C. M., Abelian Generalized Frobenius Complements for p-groups and the Hughes problem, submitted.Google Scholar