| Description |
1 online resource (xii, 334 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
De Gruyter expositions in mathematics ; 53
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|
De Gruyter expositions in mathematics ; 53.
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| Bibliography |
Includes bibliographical references and indexes. |
| 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. |
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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. |
| Summary |
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 some permutability conditions. The aim of this book is to gather, order, and examine part of this material, including the latest advances made, give some new approach to some topics, and present some new subjects of research in the theory of finite factorised groups. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Language |
In English. |
| Subject |
Finite groups.
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Finite groups. |
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MATHEMATICS -- Group Theory. |
| Genre/Form |
Electronic books.
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Electronic books.
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| Added Author |
Esteban-Romero, Ramon.
|
|
Asaad, Mohamed.
|
| Other Form: |
Print version: Ballester-Bolinches, Adolfo. Products of finite groups. Berlin ; New York : De Gruyter, ©2010 9783110204179 (DLC) 2010031029 (OCoLC)456186263 |
| ISBN |
9783110220612 (e-isbn) |
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311022061X (e-isbn) |
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1282912267 |
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9781282912267 |
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9783110204179 (alkaline paper) |
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3110204177 (alkaline paper) |
| Standard No. |
10.1515/9783110220612 |
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ebr10430522 |
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