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A class of c-groups

Published online by Cambridge University Press:  09 April 2009

A. R. Camina  and
T. M. Gagen
A. R. Camina
Affiliation:
University of IllinoisUrbana, Illinois
T. M. Gagen
Affiliation:
University of IllinoisUrbana, Illinois
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In a paper by Polimeni [3] the concept of a c-group was introduced. A group is called a c-group if and only if every subnormal subgroup is characteristic. His paper claims to characterize finite soluble c-groups, which we will call fsc-groups. There are some errors in this paper; see the forthcoming review by K. W. Gruenberg in Mathematical Reviews.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 182 - 184
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Gaschütz, W., ‘Gruppen, in denen das Normalteilersein transitiv ist’, Journal für die Reine und Angew. Math. 198 (1957) 87–92.CrossRefGoogle Scholar
[2]Gaschütz, W., ‘Über die Φ-Untergruppe endlicher Gruppen’, Math. Zeitschr. 58 (1953) 160–170.CrossRefGoogle Scholar
[3]Polimeni, A. D., ‘Finite solvable c-groups’, J. Austral. Math. Soc. 7 (1967) 172–176.CrossRefGoogle Scholar