Permutation Groups

Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the classification of finite simple groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This book gives a summary of these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven.

Sommario

1. General theory; 2. Representation theory; 3. Coherent configurations; 4. The O'Nan-Scott theorem; 5. Oligomorphic groups; 6. Miscellanea; 7. Tables.

Riassunto

This book gives a summary of recent developments in the study of permutation groups, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple groups. It is aimed at beginning graduate students and experts in other areas.

Dettagli sul prodotto

• Autori: Peter Cameron, Peter J. Cameron, Cameron Peter J.
• Con la collaborazione di: J. W. Bruce (Editore)
• Editore: Cambridge University Press
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 30.09.2009
• EAN: 9780521653022
• ISBN: 978-0-521-65302-2
• Pagine: 232
• Dimensioni: 157 mm x 235 mm x 18 mm
• Peso: 533 g
• Serie: London Mathematical Society St
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra