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Hypernormalizing groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

Hermann Heineken
Hermann Heineken
Affiliation:
Mathematisches Institut der Universität8700 Würzburg, Federal Republic of Germany
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Abstract

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All subnormal subgroups of hypernormalizing groups have by definition subnormal normalizers. It is shown that finite soluble HN-groups belong to the class of groups of Fitting length three. Finite HN-groups are considered including those with subnormal quotient isomorphic to SL(2,5).

MSC classification

Secondary: 20D35: Subnormal subgroups 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 2 , October 1989 , pp. 211 - 225
Copyright
Copyright © Australian Mathematical Society 1989

References

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