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Reduced fusion systems over 2-groups of sectional rank at most 4 /
The author classifies all reduced, indecomposable fusion systems over finite 2-groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2-rank at most 4. But this method of proof is very different from theirs, and is ba...
| 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. 1131 |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
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| 001 | EBOOKCENTRAL_ocn934424749 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
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| 008 | 151113s2016 riu ob 001 0 eng d | ||
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| 020 | |a 9781470427450 |q (online) | ||
| 020 | |a 1470427451 |q (online) | ||
| 020 | |a 9781470415488 |q (alk. paper) | ||
| 020 | |a 1470415488 |q (alk. paper) | ||
| 029 | 1 | |a AU@ |b 000065640746 | |
| 035 | |a (OCoLC)934424749 | ||
| 050 | 4 | |a QA177 |b .O45 2016 | |
| 082 | 0 | 4 | |a 512/.23 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Oliver, Robert, |d 1949- | |
| 245 | 1 | 0 | |a Reduced fusion systems over 2-groups of sectional rank at most 4 / |c Bob Oliver. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2016. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v no. 1131 | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Introduction |t Chapter 1. Background on fusion systems |t Chapter 2. Normal dihedral and quaternion subgroups |t Chapter 3. Essential subgroups in $2$-groups of sectional rank at most $4$ |t Chapter 4. Fusion systems over $2$-groups of type $G_2(q)$ |t Chapter 5. Dihedral and semidihedral wreath products |t Chapter 6. Fusion systems over extensions of $\mathit {UT}_3(4)$ |t Appendix A. Background results about groups |t Appendix B. Subgroups of $2$-groups of sectional rank $4$ |t Appendix C. Some explicit $2$-groups of sectional rank $4$ |t Appendix D. Actions on $2$-groups of sectional rank at most $4$ |
| 588 | 0 | |a Print version record. | |
| 520 | |a The author classifies all reduced, indecomposable fusion systems over finite 2-groups of sectional rank at most 4. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional 2-rank at most 4. But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Finite groups. | |
| 650 | 0 | |a Finite simple groups. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 6 | |a Groupes finis. | |
| 650 | 6 | |a Groupes simples finis. | |
| 650 | 6 | |a Topologie algébrique. | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Finite groups |2 fast | |
| 650 | 7 | |a Finite simple groups |2 fast | |
| 758 | |i has work: |a Reduced fusion systems over 2-groups of sectional rank at most 4 (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGFMq98d8h4YXPDf8976YX |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Oliver, Robert, 1949- |t Reduced fusion systems over 2-groups of sectional rank at most 4 / |x 0065-9266 |z 9781470415488 |w (DLC) 2015033105 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4901850 |z Texto completo |
| 936 | |a BATCHLOAD | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37444983 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL4901850 | ||
| 938 | |a YBP Library Services |b YANK |n 14681433 | ||
| 994 | |a 92 |b IZTAP | ||