Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673209 | Indagationes Mathematicae | 2008 | 9 Pages |
Abstract
The existence of a solvable non-normal Fitting class F which is not a Lockett class but for which the Lockett Conjecture still holds are studied. We also prove that there exists an ω-local Fitting class F which does not satisfy the Lockett conjecture but the Lockett conjecture still holds under a given condition. As a consequence of our result, a generalized version of the Lausch's problem in the well-known Kourovka Notebook is answered.
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