WorldCat Identities

Gorenstein, Daniel

Overview
Works: 45 works in 301 publications in 4 languages and 3,900 library holdings
Genres: Conference papers and proceedings  Abstracts 
Roles: Author, Editor, Dedicatee
Classifications: QA171, 512.2
Publication Timeline
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Most widely held works about Daniel Gorenstein
 
Most widely held works by Daniel Gorenstein
Finite simple groups : an introduction to their classification by Daniel Gorenstein( Book )

67 editions published between 1959 and 2007 in 3 languages and held by 1,615 WorldCat member libraries worldwide

"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 of the classification of the finite simple groups. The authors present (with either proof or reference to a proof) those theorems of abstract finite group theory, which are fundamental to the analysis in later volumes in the series. This volume provides a relatively concise and readable access to the key ideas and theorems underlying the study of finite simple groups and their important subgroups. The sections on semisimple subgroups and subgroups of parabolic type give detailed treatments of these important subgroups, including some results not available until now or available only in journal literature. The signalizer section provides an extensive development of both the Bender Method and the Signalizer Functor Method, which play a central role in the proof of the Classification Theorem. This book would be a valuable companion text for a graduate group theory course."--Publisher's website
The classification of the finite simple groups by Daniel Gorenstein( Book )

30 editions published between 1994 and 2000 in English and held by 466 WorldCat member libraries worldwide

The classification of finite simple groups by Daniel Gorenstein( Book )

24 editions published in 1983 in English and Undetermined and held by 466 WorldCat member libraries worldwide

Never before in the history of mathematics has there been an individual theorem whose proof has required 10,000 journal pages of closely reasoned argument. Who could read such a proof, let alone communicate it to others? But the classification of all finite simple groups is such a theorem-its complete proof, developed over a 30-year period by about 100 group theorists, is the union of some 500 journal articles covering approximately 10,000 printed pages. How then is one who has lived through it all to convey the richness and variety of this monumental achievement? Yet such an attempt must be made, for without the existence of a coherent exposition of the total proof, there is a very real danger that it will gradually become lost to the living world of mathematics, buried within the dusty pages of forgotten journals. For it is almost impossible for the uninitiated to find the way through the tangled proof without an experienced guide; even the 500 papers themselves require careful selection from among some 2,000 articles on simple group theory, which together include often attractive byways, but which serve only to delay the journey
Reviews on finite groups, as printed in Mathematical reviews, 1940 through 1970, volumes 1-40 inclusive by Daniel Gorenstein( Book )

17 editions published in 1974 in English and Undetermined and held by 259 WorldCat member libraries worldwide

The local structure of finite groups of characteristic 2 type by Daniel Gorenstein( Book )

12 editions published in 1983 in English and held by 240 WorldCat member libraries worldwide

Finite groups whose 2-subgroups are generated by at most 4 elements by Daniel Gorenstein( Book )

16 editions published in 1974 in English and Italian and held by 226 WorldCat member libraries worldwide

The classification of the finite simple groups by Daniel Gorenstein( Book )

56 editions published between 1994 and 2002 in English and held by 114 WorldCat member libraries worldwide

The classification of the finite simple groups by Daniel Gorenstein( Book )

18 editions published in 2005 in English and held by 36 WorldCat member libraries worldwide

Volume dédié au Professeur Oscar Zariski à l'occasion de son 70e anniversaire by Daniel Gorenstein( Book )

4 editions published in 1969 in English and French and held by 19 WorldCat member libraries worldwide

Part I, Chapter A: Almost simple k-groups by Daniel Gorenstein( Book )

1 edition published in 1998 in English and held by 14 WorldCat member libraries worldwide

Part I, chapter G: General group theory by Daniel Gorenstein( Book )

2 editions published in 1996 in English and held by 11 WorldCat member libraries worldwide

On finite simple groups of characteristic 2 type. On the explicit solvability of certain transcendental equations / by Maxwell Rosenlicht [u.a.] by Daniel Gorenstein( Book )

3 editions published in 1969 in English and held by 11 WorldCat member libraries worldwide

Part III, Chapters 1-6: The generic case, stages 1-3a by Daniel Gorenstein( Book )

1 edition published in 2002 in English and held by 11 WorldCat member libraries worldwide

Part IV: The special odd case by Daniel Gorenstein( Book )

1 edition published in 2005 in English and held by 10 WorldCat member libraries worldwide

The classification of the finite simple groups, number 5 by Daniel Gorenstein( Book )

2 editions published in 2002 in English and held by 5 WorldCat member libraries worldwide

On finite simple groups of characteristic 2 type by Daniel Gorenstein( )

1 edition published in 1969 in English and held by 5 WorldCat member libraries worldwide

Classification of the Finite Simple Groups, Number 2 by Daniel Gorenstein( Book )

2 editions published in 1995 in English and held by 3 WorldCat member libraries worldwide

 
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Audience level: 0.60 (from 0.55 for Finite sim ... to 0.96 for Part IV: T ...)

The classification of the finite simple groupsThe classification of the finite simple groupsPart I, chapter G: General group theoryClassification of the Finite Simple Groups, Number 2
Alternative Names
Daniel Gorenstein Amerikaans wiskundige

Daniel Gorenstein amerikansk matematikar

Daniel Gorenstein amerikansk matematiker

Daniel Gorenstein matematico statunitense

Daniel Gorenstein mathématicien américain

Daniel Gorenstein US-amerikanischer Mathematiker

Gorenstein, Daniel E.

Gorenstein, Daniel E. 1923-1992

Gorenstejn, D.

Ντάνιελ Γκορστάιν

Дэниел Горенстейн американский математик

دانييل غورينشتاين

ダニエル・ゴレンスタイン

Languages
English (243)

Russian (4)

Italian (1)

French (1)

Covers
The classification of the finite simple groupsThe classification of finite simple groupsThe classification of the finite simple groupsThe classification of the finite simple groupsPart I, Chapter A: Almost simple k-groupsPart I, chapter G: General group theoryPart III, Chapters 1-6: The generic case, stages 1-3aPart IV: The special odd case