群論入門（テキスト） Introduction to Group Theory (University Texts in the Mathematical Sciences) （2025）

Ayache, Ahmed/ Amin, Khalid

Springer Nature（2024/11発売）

Springer Nature（2024/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 290 p.
• 言語 ENG
• 商品コード 9789819766468

Full Description

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.

Contents

Groups and subgroups.- Normal subgroups.- Finite groups.- Series groups.