Frontiers of Mathematics in China >
Factorizations of Fitting classes
Received date: 14 Jan 2011
Accepted date: 04 Jun 2012
Published date: 01 Oct 2012
Copyright
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.
Nanying YANG , Wenbin GUO , N. T. VOROB’EV . Factorizations of Fitting classes[J]. Frontiers of Mathematics in China, 2012 , 7(5) : 943 -954 . DOI: 10.1007/s11464-012-0233-2
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