J Austral Math Soc Ser A 47 pp211--225, 1989.

Hypernormalizing Groups

Hermann Heineken

(Received 16 November 1987)

Abstract

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-groupps are considered including those with subnormal quotient isomorphic to SL(2, 5).

1980 AMS Subject Classification (1985 Revision): 20D35, 20D10

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Authors

Hermann Heineken
Mathematisches Institut der Universität, 8700 Würzburg, Federal Republic of Germany.

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