Products of finite groups / by Adolfo Ballester-Bolinches, Ramón Esteban-Romero, Mohamed Asaad.
The study of finite groups factorised as a product of two or more subgroups has become a subject of great interest during the last years with applications not only in group theory, but also in other areas like cryptography and coding theory. It has experienced a big impulse with the introduction of...
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| Format: | Electronic eBook |
| Language: | English |
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Berlin ; New York :
De Gruyter,
©2010.
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| Series: | De Gruyter expositions in mathematics ;
53. |
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Table of Contents:
- Frontmatter; Contents; Chapter 1. Prerequisites; Chapter 2. Groups whose subnormal subgroups are normal, permutable, or Sylow-permutable; Chapter 3. Products of nilpotent groups; Chapter 4. Totally and mutually permutable products of groups
- structural results; Chapter 5. Totally and mutually permutable products and classes of groups; Backmatter.
- Machine generated contents note: 1.1. Factorised groups [-] basic concepts
- 1.2. Permutability, Sylow permutability, and related properties
- 1.3. Power automorphisms
- 1.4. Dedekind and Iwasawa groups
- 1.5. Pronormality, weak normality, and the subnormaliser condition
- 1.6. SC-groups
- 1.7. Numerical invariants of π-soluble groups
- 2.1. Characterisations based on the normal structure
- 2.2. Local characterisations
- 2.3. Characterisations based on subgroup embedding properties
- 2.4. Chief factors of PST-groups
- 3.1. Products of abelian groups
- 3.2. The subgroup structure of a dinilpotent group
- 3.3. Numerical invariants of dinilpotent groups
- 4.1. Elementary properties
- 4.2. Nilpotent and supersoluble residuals of totally permutable products
- 4.3. Minimal normal subgroups and nilpotent and soluble residuals of mutually permutable products
- 4.4. Mutually permutable products: residuals and radicals.