Formations and Fitting Classes

Wenbin Guo ()
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Wenbin Guo: University of Science and Technology of China, School of Mathematical Sciences

Chapter 5 in Structure Theory for Canonical Classes of Finite Groups, 2015, pp 249-335 from Springer

Abstract: Abstract In Chapter V, we introduce the relevant knowledge for formation and Fitting class, and describe some of their related new results including the basic theory of part composition and partial local formations, factorization of formations and their lattice structure, the canonical subgroups related to formations and Fitting classes, the theory of $\mathfrak{F}$ -cohyperenter for Fitting classes, and the solution of many open problems. At the end of this chapter, we give the relevant supplementary information, and some open problems are presented.

Date: 2015
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DOI: 10.1007/978-3-662-45747-4_5

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