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Algebraic Overline{ Mathbb{Q}}-Groups As Abstract Groups.
The author analyzes the abstract structure of algebraic groups over an algebraically closed field K. For K of characteristic zero and G a given connected affine algebraic \overline{\mathbb Q}-group, the main theorem describes all the affine algebraic \overline{\mathbb Q} -groups H such that the grou...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
|
| Colección: | Memoirs of the American Mathematical Society Ser.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1065073359 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr |n|---||||| | ||
| 008 | 181117s2018 riu o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d OCLCQ |d LOA |d OCLCO |d OCLCF |d OCLCO |d K6U |d OCLCQ |d OCLCO | ||
| 020 | |a 9781470448158 | ||
| 020 | |a 1470448157 | ||
| 029 | 1 | |a AU@ |b 000069439595 | |
| 035 | |a (OCoLC)1065073359 | ||
| 050 | 4 | |a QA152 .F743 2018 | |
| 082 | 0 | 4 | |a 512.9 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Écon, Olivier. | |
| 245 | 1 | 0 | |a Algebraic Overline{ Mathbb{Q}}-Groups As Abstract Groups. |
| 260 | |a Providence : |b American Mathematical Society, |c 2018. | ||
| 300 | |a 1 online resource (112 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society Ser. ; |v v. 255 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title page; Chapter 1. Introduction; 1.1. Related work; 1.2. The field of definition; 1.3. Overview of the paper; Chapter 2. Background material; 2.1. Groups of finite Morley rank; 2.2. Fundamental theorems; 2.3. Decent tori and pseudo-tori; 2.4. Unipotence; Chapter 3. Expanded pure groups; Chapter 4. Unipotent groups over \ov{\Q} and definable linearity; Chapter 5. Definably affine groups; 5.1. Definition and generalities; 5.2. The subgroup (); 5.3. The subgroup (); Chapter 6. Tori in expanded pure groups; Chapter 7. The definably linear quotients of an -group. | |
| 505 | 8 | |a 7.1. The subgroups () and ()7.2. The nilpotence of (); 7.3. The subgroup () when the ground field is \ov{\Q}; 7.4. The subgroups () and () in positive characteristic; Chapter 8. The group _{ } and the Main Theorem for =\ov{\Q}; Chapter 9. The Main Theorem for `"ov{\Q}; Chapter 10. Bi-interpretability and standard isomorphisms; 10.1. Positive characteristic and bi-interpretability; 10.2. Characteristic zero; Acknowledgements; Bibliography; Index of notations; Index; Back Cover. | |
| 520 | |a The author analyzes the abstract structure of algebraic groups over an algebraically closed field K. For K of characteristic zero and G a given connected affine algebraic \overline{\mathbb Q}-group, the main theorem describes all the affine algebraic \overline{\mathbb Q} -groups H such that the groups H(K) and G(K) are isomorphic as abstract groups. In the same time, it is shown that for any two connected algebraic \overline{\mathbb Q} -groups G and H, the elementary equivalence of the pure groups G(K) and H(K) implies that they are abstractly isomorphic. In the final section, the author appli. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Finite groups. | |
| 650 | 0 | |a Isomorphisms (Mathematics) | |
| 650 | 6 | |a Algèbre. | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 6 | |a Isomorphismes (Mathématiques) | |
| 650 | 7 | |a algebra. |2 aat | |
| 650 | 7 | |a Algebra |2 fast | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Isomorphisms (Mathematics) |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Écon, Olivier. |t Algebraic Overline{ Mathbb{Q}}-Groups As Abstract Groups. |d Providence : American Mathematical Society, ©2018 |
| 830 | 0 | |a Memoirs of the American Mathematical Society Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5571101 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5571101 | ||
| 994 | |a 92 |b IZTAP | ||