Classical F-Subgroups

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


Definition 2.1.1 A set of groups is said to be a class of groups if when this set contains a group G, then it also contains all groups isomorphic to G. When a group G belongs to a class F of groups, we say that G is an F-group. If a subgroup of a group belongs to F, then we say that this subgroup is an F-subgroup.


Normal Subgroup Maximal Subgroup Nilpotent Group Homomorphic Image Minimal Normal Subgroup 
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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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