Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-19T23:43:17.069Z Has data issue: false hasContentIssue false
  • English
  • Français

-injectors of locally soluble FC-groups

Published online by Cambridge University Press:  18 May 2009

M. J. Tomkinson
M. J. Tomkinson
Affiliation:
University of Glasgow
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.

A group G is said to be an FC-group if each element of G has only a finite number of conjugates in G. We are concerned with the class of periodic locally soluble. FC-groups. Clearly subgroups and factor groups of -groups are also -groups.

Every finite soluble group is a -group, and we consider here the generalization of a concept from the theory of finite soluble groups.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 10 , Issue 2 , July 1969 , pp. 130 - 136
Copyright
Copyright © Glasgow Mathematical Journal Trust 1969

References

REFERENCES

1.Fischer, B., Hartley, B. and Gaschútz, W., Injektoren der endlichen auflösbaren Gruppen, Math.Z.. 102 (1967), 337–339.CrossRefGoogle Scholar
2.Gol'berg, P. A., Sylow Il-subgroups of locally normal groups, Mat. Sbomik 19 (1946), 451–458 (Russian with English summary).Google Scholar
3.Kargapolov, M. I., On the conjugacy of Sylow p-subgroups of a locally normal group, Uspehi Mat. Nauk 12 (4) (1957), 297–300 (Russian).Google Scholar
4.Kuros, A. G., The theory of groups, Vol. II (New York, 1960).Google Scholar
5.Stonehewer, S. E., Locally soluble FC-groups, Arch, der Math. 16 (1965), 158–177.CrossRefGoogle Scholar
6.Tomkinson, M. J., Formations of locally soluble FC-groups, Proc. London Math. Soc.; to appear.Google Scholar
7.Tomkinson, M. J., Local conjugacy classes, Math. Z. 108 (1969), 202–212.CrossRefGoogle Scholar