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Subnormal embedding of relatively complete groups

Published online by Cambridge University Press:  09 April 2009

Hermann Heineken
Affiliation:
Mathematisches Institut, Universität Würzburg, Würzburg Federal Republic of, Germany
Panagiotis Soules
Affiliation:
Department of Mathematics, University of Athens, Athens, Greece
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Abstract

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In this paper we show that a group A is embedded in any finite group G as a subnormal subgroup with low degree of complication, provided that the automorphism group of A satisfies a condition depending on some Fitting class (which coincides with completeness for the Fitting class of all groups). A criterion is given for these groups as to whether they can be embedded subnormally in the commutator subgroup of some finite group or not.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1988

References

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