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Factorizations of Fitting classes 被引量:1

Factorizations of Fitting classes
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摘要 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. 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.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2012年第5期943-954,共12页 中国高等学校学术文摘·数学(英文)
关键词 Fitting class Normal Fitting class semilocal Fitting class Lockett class Fitting class, Normal Fitting class, semilocal Fitting class, Lockett class
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