WorldCat Identities

Gorenstein, Daniel

Overview
Works: 65 works in 310 publications in 4 languages and 3,973 library holdings
Genres: Abstracts  Classification 
Roles: Author, Compiler, 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 groups by Daniel Gorenstein( Book )

39 editions published between 1959 and 2007 in English and Undetermined and held by 901 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
Finite simple groups : an introduction to their classification by Daniel Gorenstein( Book )

29 editions published between 1982 and 1985 in 3 languages and held by 713 WorldCat member libraries worldwide

In February 1981, the classification of the finite simple groups (Dl)* was completed, t. * representing one of the most remarkable achievements in the history or mathematics. Involving the combined efforts of several hundred mathematicians from around the world over a period of 30 years, the full proof covered something between 5,000 and 10,000 journal pages, spread over 300 to 500 individual papers. The single result that, more than any other, opened up the field and foreshadowed the vastness of the full classification proof was the celebrated theorem of Walter Feit and John Thompson in 1962, which stated that every finite group of odd order (D2) is solvable (D3)-a statement expressi ble in a single line, yet its proof required a full 255-page issue of the Pacific 10urnal of Mathematics [93]. Soon thereafter, in 1965, came the first new sporadic simple group in over 100 years, the Zvonimir Janko group 1, to further stimulate the 1 'To make the book as self-contained as possible. we are including definitions of various terms as they occur in the text. However. in order not to disrupt the continuity of the discussion. we have placed them at the end of the Introduction. We denote these definitions by (DI). (D2), (D3). etc
The classification of finite simple groups by Daniel Gorenstein( Book )

23 editions published in 1983 in English and Undetermined and held by 459 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
The classification of the finite simple groups by Daniel Gorenstein( Book )

20 editions published between 1994 and 2000 in English and held by 427 WorldCat member libraries worldwide

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 258 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 237 WorldCat member libraries worldwide

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

13 editions published in 1974 in English and Italian and held by 220 WorldCat member libraries worldwide

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

24 editions published between 1994 and 1996 in English and held by 52 WorldCat member libraries worldwide

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

14 editions published in 1998 in English and held by 36 WorldCat member libraries worldwide

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

15 editions published between 1999 and 2002 in English and held by 35 WorldCat member libraries worldwide

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

10 editions published in 2005 in English and held by 25 WorldCat member libraries worldwide

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

2 editions published between 1994 and 2000 in English and held by 24 WorldCat member libraries worldwide

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

10 editions published in 2002 in English and held by 20 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 17 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

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

2 editions published in 1994 in English and held by 3 WorldCat member libraries worldwide

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

3 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide

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

3 editions published in 1974 in English and held by 2 WorldCat member libraries worldwide

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

1 edition published in 1983 in English and held by 0 WorldCat member libraries worldwide

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

2 editions published in 2005 in English and held by 0 WorldCat member libraries worldwide

 
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The classification of the finite simple groupsThe classification of the finite simple groups
Alternative Names
Daniel Gorenstein Amerikaans wiskundige

Daniel Gorenstein amerikansk matematikar

Daniel Gorenstein amerikansk matematiker

Daniel Gorenstein matemático estadounidense

Daniel Gorenstein matematico statunitense

Daniel Gorenstein mathématicien américain

Daniel Gorenstein US-amerikanischer Mathematiker

Gorenstein, Daniel E.

Gorenstein, Daniel E. 1923-1992

Gorenstejn, D.

Gorenstejn, D. 1923-1992

Gorenstejn, Dėniel 1923-1992

Ντάνιελ Γκορστάιν

Дэниел Горенстейн американский математик

دانييل غورينشتاين

دانييل غورينشتاين رياضياتي أمريكي

ダニエル・ゴレンスタイン

Languages
English (230)

Russian (4)

Italian (1)

French (1)

Covers
The classification of finite simple groupsThe classification of the finite simple groupsThe classification of the finite simple groupsThe classification of the finite simple groupsThe classification of the finite simple groupsThe classification of the finite simple groupsThe classification of the finite simple groupsPart I, Chapter A: Almost simple k-groups