Cover-avoidance and Frattini argument

Brewster, Ben; Hauck, Peter

doi:10.1090/S0002-9939-1991-1062828-1

Cover-avoidance and Frattini argument
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by Ben Brewster and Peter Hauck PDF

Proc. Amer. Math. Soc. 113 (1991), 625-632 Request permission

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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