Overgroups of Root Groups in Classical Groups
American Mathematical Society (Verlag)
978-1-4704-1845-8 (ISBN)
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Michael Aschbacher, Caltech, Pasadena, CA, USA.
Introduction 3-transpositions
The $(V,f)$-setup
Direct sum decompositions
Subfield structures
Modules for alternating groups
Modules with $p=2$
The orthogonal space $/mathbf{F}_2^n$
Overgroups of long root subgroups
Maximal overgroups of long root subgroups
Subgroups containing long root elements
Overgroups of short root subgroups
Short root subgroups in symplectic groups of characteristic 2
Overgroups of subgroups in $/mathbf{R}_c$ in III
Overgroups of subgroups in $/mathbf{R}_c$ in III when $q>3$
A special case for $q=3$ in III
Overgroups of subgroups in $/mathbf{R}_c$ in III when $q=3$
A result of Stellmacher More case III with $q=3$
The proof of Theorem 1
A characterization of alternating groups
Orthogonal groups with $q=2$
The proof of Theorem 2
Symplectic and unitary groups
Symplectic and unitary groups with $q$ odd
The proof of Theorem 3
Unitary groups with $q$ even
The proofs of Theorems A and B
References
| Erscheinungsdatum | 05.05.2016 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 292 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 1-4704-1845-2 / 1470418452 |
| ISBN-13 | 978-1-4704-1845-8 / 9781470418458 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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