Algebra of Formations

  • Guo Wenbin
Part of the Mathematics and Its Applications book series (MAIA, volume 505)


In the previous two chapters the properties and structures of various formations of finite groups were discussed. Now in this chapter we study classes of formations and classes of varieties of groups. We shall see later that every nontrivial variety of groups contains infinite groups of any cardinality. A formation which consists of finite groups is called a finite formation. We see by the definition that all local formations are finite.


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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Guo Wenbin
    • 1
  1. 1.Mathematics DepartmentScience College, Yangzhou UniversityYangzhouP. R. China

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