Cover-avoidance and Frattini argument
Authors:
Ben Brewster and Peter Hauck
Journal:
Proc. Amer. Math. Soc. 113 (1991), 625-632
MSC:
Primary 20D10
DOI:
https://doi.org/10.1090/S0002-9939-1991-1062828-1
MathSciNet review:
1062828
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Abstract | References | Similar Articles | Additional Information
Abstract: The results presented here develop further aspects of the theory of Fitting functors in finite (solvable) groups. These ideas evolved in investigating whether a Fitting functor with the cover-avoidance property necessarily satisfies the Frattini argument. Our results might be seen as an indication for a positive answer.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1991-1062828-1
Keywords:
Finite solvable groups,
Fitting functor,
cover-avoidance property,
Frattini argument,
injectors,
Fitting classes
Article copyright:
© Copyright 1991
American Mathematical Society