Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-05T03:02:35.573Z Has data issue: false hasContentIssue false
  • English
  • Français

On a problem about cyclic subgroups of finite groups

Published online by Cambridge University Press:  20 January 2009

Oscar E. Barriga
Oscar E. Barriga
Affiliation:
University of Illinois at Chicago Circle, Mathematics Department, P.O. Box 4348, Chicago, Illinois 60680, U.S.A.
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.

Let G be a finite group and let S be a subgroup of G with core

We say that (G, S) has property (*) if there exists x ∈ G such that S ∩ x−1

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 3 , March 1977 , pp. 225 - 228
Copyright
Copyright © Edinburgh Mathematical Society 1977

References

REFERENCES

(1) Bender, H., On Groups with Abelian Sylow 2-Subgroups, Math. Z., 117 (1970), 164–176.CrossRefGoogle Scholar
(2) Broadkey, J. S., A Note on Finite Groups with an Abelian Sylow Subgroup, Proc. Amer. Math. Soc., 14 (1963), 132–133.CrossRefGoogle Scholar
(3) Herzog, M., Intersection of Nilpotent Hall Subgroups, Pacific J. Math., 36 (1971), 331–333.CrossRefGoogle Scholar
(4) Ito, N., Über den kleinsten p-Durchschnitt auflosbarer Gruppen, Arch. Math. (Basel) 9 (1958), 27–32.CrossRefGoogle Scholar
(5) Laffey, T. J., A Problem on Cyclic Subgroups of Finite Groups, Proc. Edinburgh Math. Soc., (2) 18 (1973), 247–249.CrossRefGoogle Scholar