Modular Invariants - Brossura

Rutherford, D. E.

Brossura

ISBN 10: 1107493765 ISBN 13: 9781107493766

Casa editrice: Cambridge University Press, 2015

Riassunto

Originally published in 1932, this book describes the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett.

Su questo libro

Descrizione del libro

Originally published in 1932 as number twenty-seven in the Cambridge Tracts in Mathematics and Mathematical Physics series, this book provides a concise account of the theory of modular invariants as embodied in the work of Dickson, Glenn and Hazlett. Appendices are included.

Contenuti

Preface; Part I: 1. A new notation; 2. Galois fields and Fermat's theorem; 3. Transformations in the Galois fields; 4. Types of concomitants; 5. Systems and finiteness; 6. Symbolical notation; 7. Generators of linear transformations; 8. Weight and isobarbism; 9. Congruent concomitants; 10. Relation between congruent and algebraic covariants; 11. Formal covariants; 13. Dickson's theorem; 14. Formal invariants of linear form; 15. The use of symbolical operators; 16. Annihilators of formal invariants; 17. Dickson's method for formal covariants; 18. Symbolical representation of pseudo-isobaric formal covariants; 19. Classes; 20. Characteristic invariants; 21. Syzygies; 22. Residual covariants; 23. Miss Sanderson's theorem; 24. A method of finding characteristic invariants; 25. Smallest full systems; 26. Residual invariants of linear forms; 27. Residual invariants of quadratic forms; 28. Cubic and higher forms; 29. Relative unimportance of residual covariants; 30. Non-formal residual covariants; Part II: 31. Rings and fields; 32. Expansions; 33. Isomorphism; 34. Finite expansions; 35. Transcendental and algebraic expansions; 36. Rational basis theorem of E. Noether; 37. The fields Ky+/-f; 38. Expansions of the first and second sorts; 39. The theorem on divisor chains; 40. R-modules; 41. A theorem of Artin and of van der Waerden; 42. The finiteness criterion of E. Noether; 43. Application of E. Noether's theorem to modular covariants; Appendix I; Appendix II; Appendix III; Index.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 1107493765
• ISBN 13: 9781107493766
• Rilegatura: Copertina flessibile
• Numero di pagine: 94
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia