Factorizations of fitting classes

Abstract

In this paper, we prove that there exists a infinite set of non-trivial local Fitting classes every element in which is decomposable as a non-trivial product of Fitting classes such that every factor in the product is neither local nor a formation. In particular, this gives a positive answer to Problem 11.25 a) in The Kourovka Notebook.

Keywords

Fitting class / Normal Fitting class / semilocal Fitting class / Lockett class

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