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The formation generated by a finite group

Published online by Cambridge University Press:  17 April 2009

R. M. Bryant ,
R. A. Bryce  and
B. Hartley
R. M. Bryant
Affiliation:
The Australian National University, Canberra, ACT.
R. A. Bryce
Affiliation:
The Australian National University, Canberra, ACT.
B. Hartley
Affiliation:
The Australian National University, Canberra, ACT.
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Abstract

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We prove here that the (saturated) formation generated by a finite soluble group has only finitely many (saturated) subformations. This answers a question asked by Professor W. Gaschütz. Some partial results are also given in the case of a formation generated by an arbitrary finite group.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 2 , Issue 3 , June 1970 , pp. 347 - 357
Copyright
Copyright © Australian Mathematical Society 1970

References

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