Complementation of normal subgroups : in finite groups / Joseph Kirtland.
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...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Boston :
De Gruyter,
[2017]
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MARC
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| 100 | 1 | |a Kirtland, Joseph, |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjB4X3qQMHYkbXf4KQyXBd | |
| 245 | 1 | 0 | |a Complementation of normal subgroups : |b in finite groups / |c Joseph Kirtland. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (xii, 144 pages) | ||
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| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Notation -- |t 1. Prerequisites -- |t 2. The Schur-Zassenhaus theorem: A bit of history and motivation -- |t 3. Abelian and minimal normal subgroups -- |t 4. Reduction theorems -- |t 5. Subgroups in the chief series, derived series, and lower nilpotent series -- |t 6. Normal subgroups with abelian sylow subgroups -- |t 7. The formation generation -- |t 8. Groups with specific classes of subgroups complemented -- |t Bibliography -- |t Author index -- |t Subject index. |
| 520 | |a 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 normal subgroups and formations. ContentsPrerequisitesThe Schur-Zassenhaus theorem: A bit of history and motivationAbelian and minimal normal subgroupsReduction theoremsSubgroups in the chief series, derived series, and lower nilpotent seriesNormal subgroups with abelian sylow subgroupsThe formation generationGroups with specific classes of subgroups complemented. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017). | |
| 504 | |a Includes bibliographical references and indexes. | ||
| 650 | 0 | |a Finite groups. | |
| 650 | 0 | |a Sylow subgroups. | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Sylow subgroups |2 fast | |
| 758 | |i has work: |a Complementation of normal subgroups (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH8CqGYWRQ4qPR97HkdTQC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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