Complementation of normal subgroups : in finite groups /

Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian norma...

Mô tả đầy đủ

Chi tiết về thư mục
Tác giả chính: Kirtland, Joseph (Tác giả)
Định dạng: Licensed eBooks
Ngôn ngữ:Tiếng Anh
Được phát hành: Berlin ; Boston : De Gruyter, [2017]
Truy cập trực tuyến:https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1595392
Mục lục:
  • Frontmatter
  • Preface
  • Contents
  • Notation
  • 1. Prerequisites
  • 2. The Schur-Zassenhaus theorem: A bit of history and motivation
  • 3. Abelian and minimal normal subgroups
  • 4. Reduction theorems
  • 5. Subgroups in the chief series, derived series, and lower nilpotent series
  • 6. Normal subgroups with abelian sylow subgroups
  • 7. The formation generation
  • 8. Groups with specific classes of subgroups complemented
  • Bibliography
  • Author index
  • Subject index.