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...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.展开更多
In this paper, we study the cover-avoid property of -injectors on chief factors of a group G for a Fitting class in some universe with partial solubility.
文摘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.
基金Research of the first author is supported by the Natural Science Foundation of Sandong Province （No. ZR2014AL001）, China.
文摘In this paper, we study the cover-avoid property of -injectors on chief factors of a group G for a Fitting class in some universe with partial solubility.
