Hostname: page-component-7dd5485656-7jgsp Total loading time: 0 Render date: 2025-10-31T01:50:03.294Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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).

Information

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