Finite groups : an introduction / Jean-Pierre Serre ; with assistance in translation provided by Garving K. Luli, Pin Yu
Type de document : MonographieLangue : anglais.Pays: Etats Unis.Éditeur : Somerville (Mass.) : International Press , 2016Description : 1 vol. (IX-178 p.) ; 26 cmISBN: 9781571463272.Bibliographie : Bibliogr. p. 164-169. Index.Sujet MSC : 20Dxx, Group theory and generalizations - Abstract finite groups20-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory
20C15, Group theory - Representation theory of groups, Ordinary representations and characters
20J06, Connections of group theory with homological algebra and category theory, Cohomology of groupsEn-ligne : Zentralblatt | MSN
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 1 | 20 SER (Browse shelf(Opens below)) | Available | 03912-01 |
Version anglaise d'un cours donné à l'Ecole Normale Supérieure de Jeunes Filles, Paris, 1978-1979
Bibliogr. p. 164-169. Index
Finite group theory is remarkable for the simplicity of its statements and the difficulty of their proofs. It is essential in several branches of mathematics, notably number theory. This book is an elementary textbook on the finite group theory for students and general readers. Written by the eminent French mathematician Jean-Pierre Serre (a principal contributor to algebraic topology, algebraic geometry, group theory, and number theory, awarded by the Fields Medal in 1954 and by the first Abel Prize in 2003), this brand-new textbook is based upon a course given by Serre at École Normale Supérieure de Jeunes Filles, Paris in 1978-1979.
The contents of the ten chapters are following. Chapter 1 – Preliminaries, Chapter 2 – Sylow theorems, Chapter 3 – Solvable groups and nilpotent groups, Chapter 4 – Group extensions, Chapter 5 – Hall subgroups, Chapter 6 – Frobenius groups, Chapter 7 – Transfer, Chapter 8 – Characters, Chapter 9 – Finite subgroups of GLn , Chapter 10 – Small groups.
Each of the chapters is followed by a series of exercises (in all about 160). (zbMath)
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