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Finite solvable c-groups

Published online by Cambridge University Press:  09 April 2009

Albert D. Polimeni
Affiliation:
University of MichiganAnn Arbor, Michigan
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A group G is called a c-group if each of its subnormal subgroups is characteristic in G. It is the object of this note to give a characterization of finite solvable c-groups.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Burnside, W., The theory of groups of finite order. (Dover Publications, Inc., New York, 1955).Google Scholar
[2]Carter, R. W., ‘Splitting properties of solvable groups’. J. London Math. Soc. 36 (1961), 8994.CrossRefGoogle Scholar
[3]Gaschutz, W., ‘Gruppen, in denen das Normalteilersein transitiv ist’. J. Reine Angew. Math. 198 (1956), 8792.Google Scholar
[4]Hall, M., The theory of groups. (Macmillan, New York, 1959).Google Scholar
[5]Taunt, D. R., ‘On A-groups’. Proc. Cambridge Philos. Soc. 45 (1949), 2442.CrossRefGoogle Scholar