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...
Tác giả chính: | |
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Định dạng: | Licensed eBooks |
Ngôn ngữ: | Tiếng Anh |
Được phát hành: |
Berlin ; Boston :
De Gruyter,
[2017]
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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.