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✦   LIBER   ✦

Classification of finite simple groups 1 Number 1

✍ Scribed by Daniel Gorenstein, Richard Lyons, Ronald Solomon

Book ID
127418240
Publisher
American Mathematical Society
Year
1994
Tongue
English
Weight
1 MB
Series
AMS survey 40
Category
Library
ISBN
0821803344

No coin nor oath required. For personal study only.

✦ Synopsis

The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. This book is intended for first- or second-year graduate students/researchers in group theory.

✦ Subjects

Теория групп

📜 SIMILAR VOLUMES

Classification of finite simple groups 1
Classification of finite simple groups 1 Number 1
✍ Daniel Gorenstein, Richard Lyons, Ronald Solomon 📂 Library 📅 1994 🏛 American Mathematical Society 🌐 English ⚖ 1 MB

This book offers a single source of basic facts about the structure of the finite simple groups with emphasis on a detailed description of their local subgroup structures, coverings and automorphisms. The method is by examination of the specific groups, rather than by the development of an abstract

Locally Finite Simple Groups of 1-Type
Locally Finite Simple Groups of 1-Type
✍ Stefaan Delcroix; Ulrich Meierfrankenfeld 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 152 KB

A locally finite, simple group G is said to be of 1-type if every Kegel cover for G has a factor which is an alternating group. In this paper we study the finite subgroups of locally finite simple groups of 1-type. We also introduce the concept of ''block-diagonal embeddings'' for groups of alternat

Classification of finite simple groups 2
Classification of finite simple groups 2. Part I, chapter G: general group theory Number 2
✍ Daniel Gorenstein 📂 Library 📅 1995 🏛 American Mathematical Society 🌐 English ⚖ 2 MB

The Classification Theorem is one of the main achievements of 20th century mathematics, but its proof has not yet been completely extricated from the journal literature in which it first appeared. This is the second volume in a series devoted to the presentation of a reorganized and simplified proof