Introduction to group theory

• Verfasst von: Ayache, Ahmed [VerfasserIn]
• Verfasst von: Amin, Khalid [VerfasserIn]
• Titel: Introduction to group theory
• Verf.angabe: Ahmed Ayache, Khalid Amin
• Verlagsort: Singapore
• Verlag: Springer
• Jahr: 2025
• Umfang: 1 Online-Ressource (XIV, 243 Seiten)
• Gesamttitel/Reihe: University texts in the mathematical sciences
• ISBN: 978-981-9766-47-5
• DOI: doi:10.1007/978-981-97-6647-5
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Ayache, Ahmed: Introduction to group theory. - Singapore : Springer, 2025. - xiv, 243 Seiten
• K10plus-PPN: 1920501800
• K10plus-PPN:
  Universitätsbibliothek
• Lokale URL UB: Zum Volltext

Abstract

Targeted at undergraduate mathematics students, this book aims to cover courses in group theory. Based on lectures in group theory, it includes many illustrations and examples, numerous solved exercises and detailed proofs of theorems. The book acts as a guide to teachers and is also useful to graduate students. The book discusses major topics in group theory such as groups and subgroups, binary operations, fundamental algebraic structure of groups, symmetric groups, cyclic groups, normal subgroups, quotient groups, homomorphisms, isomorphisms, direct product of groups, simple groups, set on a group, Sylow's theorem, finite group, Abelian groups and non-isomorphic Abelian groups.