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Overgroups of root groups in classical groups /
The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2016.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1140. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn944506813 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 050 | 4 | |a QA174.2 |b .A8327 2016 | |
| 082 | 0 | 4 | |a 512.7/4 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Aschbacher, Michael, |d 1944- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJcGm66wBrRJJxDHyCgtKd | |
| 245 | 1 | 0 | |a Overgroups of root groups in classical groups / |c Michael Aschbacher. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2016. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (v, 184 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, |x 0065-9266 ; |v volume 241, number 1140 | |
| 588 | 0 | |a Online resource; title from PDF title page (viewed March 24, 2016). | |
| 500 | |a "Volume 241, number 1140 (first of 4 numbers), May 2016." | ||
| 504 | |a Includes bibliographical references (pages 183-184). | ||
| 505 | 0 | 0 | |t Introduction -- |t 3-transpositions -- |t The (V, f)-setup -- |t Direct sum decompositions -- |t Subfield structures -- |t Modules for alternating groups -- |t Modules with p=2 -- |t The orthogonal space F₂[superscript n] -- |t Overgroups of long root subgroups -- |t Maximal overgroups of long root subgroups -- |t Subgroups containing long root elements -- |t Overgroups of short root subgroups -- |t Short root subgroups in symplectic groups of characteristic 2 -- |t Overgroups of subgroups in R[subscript c] in III -- |t Overgroups of subgroups in R [subscript c] in III when q> 3 -- |t A special case for q = 3 in III -- |t Overgroups of subgroups in R[subscript c] in III when q = 3 -- |t A result of Stellmacher -- |t More case III with q = 3 -- |t The proof of Theorem 1 -- |t A characterization of alternating groups -- |t Orthogonal groups with q = 2 -- |t The proof of Theorem 2 -- |t Symplectic and unitary groups -- |t Symplectic and unitary groups with q odd -- |t The proof of Theorem 3 -- |t Unitary groups with q even -- |t The proofs of Theorems A and B -- |t References. |
| 520 | |a The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Group theory. | |
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Geometry. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 6 | |a Algèbre. | |
| 650 | 6 | |a Géométrie. | |
| 650 | 7 | |a algebra. |2 aat | |
| 650 | 7 | |a geometry. |2 aat | |
| 650 | 7 | |a Algebra |2 fast | |
| 650 | 7 | |a Geometry |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Overgroups of root groups in classical groups (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG98BwYQBHbxrrx6kHmq8K |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1140. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4901859 |z Texto completo |
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