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Between Complement and Supplement

In: Structure Theory for Canonical Classes of Finite Groups

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  • Wenbin Guo

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

Abstract

In Chapter III, we concentrate to study the generalized supplementary subgroup and covering systems of subgroups. In particular, a new theory of generalized supplementary subgroups is established. This new theory unifies and leads to the development of a number of research ideas and techniques in finite groups in recent years. At the end of this chapter, we give the relevant supplementary information, and some open problems are presented.

Suggested Citation

  • Wenbin Guo, 2015. "Between Complement and Supplement," Springer Books, in: Structure Theory for Canonical Classes of Finite Groups, edition 127, chapter 3, pages 129-190, Springer.
  • Handle: RePEc:spr:sprchp:978-3-662-45747-4_3
    DOI: 10.1007/978-3-662-45747-4_3
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