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...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serie: | Lecture notes in mathematics
1519 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
Sommario:
- 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.