A Course on Finite Groups

2009. Auflage 2010
ISBN: 978-1-84882-888-9
Verlag: Springer

Buch, Englisch, 311 Seiten, Format (B × H): 157 mm x 233 mm, Gewicht: 1010 g

Reihe: Universitext

Introduces the richness of group theory to advanced undergraduate and graduate students, concentrating on the finite aspects.

Provides a wealth of exercises and problems to support self-study.

Additional online resources on more challenging and more specialised topics can be used as extension material for courses, or for further independent study.

Zielgruppe

Graduate

Autoren/Hrsg.

Rose, H E

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)

Inhaltsverzeichnis

Introduction—The Group Concept.- Elementary Group Properties.- Group Construction and Representation.- Homomorphisms.- Action and the Orbit–Stabiliser Theorem.- -Groups and Sylow Theory.- Products and Abelian Groups.- Groups of Order 24 Three Examples.- Series, Jordan–Hölder Theorem and the Extension Problem.- Nilpotency.- Solubility.- Simple Groups of Order Less than 10000.- Appendices A to E.