Permutation Groups and Cartesian Decompositions(London Mathematical Society Lecture Note Ser: LMS 449) paper 333 p. 18
Praeger, Cheryl E., Schneider, Csaba 著
目次
1. Introduction; Part I. Permutation groups - fundamentals: 2. Group actions and permutation groups; 3. Minimal normal subgroups of transitive permutation groups; 4. Finite direct products of groups; 5. Wreath products; 6. Twisted wreath products; 7. O'Nan-Scott Theory and the maximal subgroups of finite alternating and symmetric groups; Part II. Innately transitive groups - factorisations and cartesian decompositions: 8. Cartesian factorisations; 9. Transitive cartesian decompositions for innately transitive groups; 10. Intransitive cartesian decompositions; Part III. Cartesian decompositions - applications: 11. Applications in permutation group theory; 12. Applications to graph theory; Appendix. Factorisations of simple and characteristically simple groups; Glossary; References; Index.
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