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Modular fitting functors in finite groups

Published online by Cambridge University Press:  17 April 2009

Peter Hauck  and
Reinhold Kienzle
Peter Hauck
Affiliation:
Mathematisches Institut, Albert – Ludwigs – Universität, Albertstrasse 23 b, D-7800 Freiburg i.Br., Federal Republic of Germany
Reinhold Kienzle
Affiliation:
Mathematisches Institut, Albert – Ludwigs – Universität, Albertstrasse 23 b, D-7800 Freiburg i.Br., Federal Republic of Germany
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We consider Fitting classes for which the injectors in any finite solvable group are modular subgroups. It is shown that only normal Fitting classes have this property. In fact, we prove two more general results demonstrating that modular Fitting functors and submodular Fitting classes are normal.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 475 - 483
Copyright
Copyright © Australian Mathematical Society 1987

References

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