Finite Groups I [Hardcover]

Since its publication in 1967, Bertram Huppert’s influential Endliche Gruppen I has remained a standard reference on group theory, with its clear, precise and complete exposition. The present volume makes this classic text available in English for the first time, updated with modern notation and notes.

In addition to foundational material, the book contains the theory of permutation groups, linear groups, p-groups, nilpotent groups and solvable groups, as well as the transfer homomorphism and ordinary representation theory. All topics are fully developed and accessible to students with a basic knowledge of algebra. Its comprehensive coverage and inclusion of more advanced topics make this self-contained treatise an invaluable resource for graduate students and researchers.

1 Foundations.- 2 Permutation groups and linear groups.- 3 Nilpotent groups and p-groups.- 4 Transfer and p-nilpotent groups.- 5 Representation theory.- 6 Solvable groups.

“The book is more than just a translation: It also includes footnotes updating the open problems listed in the first edition with references to recent work … . Same as the original book, the translated manuscript is not only clear enough and very useful for graduate students who want to learn the subject, but very deep and detailed to serve as a standard reference for researchers in group theory as well.” (K1vanç Ersoy, zbMATH 1572.20001, 2026)

Bertram Huppert (1927–2023) was a noted group theorist. He spent much of his career at the University of Mainz, retiring in 1994.

Since its publication in 1967, Bertram Huppert’s influential Endliche Gruppen I has remained a standard reference on group theory, with its clear, precise and complete exposition. The present volume makes this classic text availabll3.