The Primitive Soluble Permutation Groups of Degree less than 256
This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble pe...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in mathematics
1519 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The primitive soluble permutation groups of degree less than 256, M. W. Short, 1992, Berlin, Springer-Verlag, 1 volume (VII-145 pages), Lecture notes in mathematics, 3-540-55501-3 • The Primitive Soluble Permutation Groups of Degree Less than 256, Texte imprimé, 9783662172865 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Short, Mark William. | |
| 245 | 1 | 0 | |a The Primitive Soluble Permutation Groups of Degree less than 256 |c Mark W. Short. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1519 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Background theory -- The imprimitive soluble subgroups of GL(2, p k ) -- The normaliser of a Singer cycle of prime degree -- The irreducible soluble subgroups of GL(2, p k ) -- Some irreducible soluble subgroups of GL(q, p k ), q>2 -- The imprimitive soluble subgroups of GL(4, 2) and GL(4, 3) -- The primitive soluble subgroups of GL(4, p k) -- The irreducible soluble subgroups of GL(6, 2) -- Conclusion -- The primitive soluble permutation groups of degree less than 256. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. A description is obtained for the primitive soluble permutation groups of prime-squared degree and a partial description obtained for prime-cubed degree. These descriptions are easily converted to algorithms for enumerating appropriate representatives of the groups. The descriptions for degrees 34 (die vier hochgestellt, Sonderzeichen) and 26 (die sechs hochgestellt, Sonderzeichen) are obtained partly by theory and partly by machine, using the software system Cayley. The material is appropriate for people interested in soluble groups who also have some familiarity with the basic techniques of representation theory. This work complements the substantial work already done on insoluble primitive permutation groups. | ||
| 650 | |a Groupes de permutations | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Groupes résolubles | ||
| 776 | 0 | |0 023164360 |t The primitive soluble permutation groups of degree less than 256 |f M. W. Short |d 1992 |c Berlin |n Springer-Verlag |p 1 volume (VII-145 pages) |s Lecture notes in mathematics |z 3-540-55501-3 | |
| 776 | 0 | |t The Primitive Soluble Permutation Groups of Degree Less than 256 |b Texte imprimé |z 9783662172865 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0090195 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-BC1VQMDV-F |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750672161 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0090195 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75402086X |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0090195 |z Accès INSA CVL | |
| 997 | |0 969614 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||