Daniel Gorenstein | Academic Influence

Daniel Gorenstein's AcademicInfluence.com Rankings

Daniel Gorenstein

Mathematics

#730

World Rank

#1328

Historical Rank

#317

USA Rank

Measure Theory

#2397

World Rank

#2867

Historical Rank

#680

USA Rank

mathematics Degrees

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Mathematics

Daniel Gorenstein's Degrees

PhD Mathematics University of Chicago

Why Is Daniel Gorenstein Influential?

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According to Wikipedia, Daniel E. Gorenstein was an American mathematician. He earned his undergraduate and graduate degrees at Harvard University, where he earned his Ph.D. in 1950 under Oscar Zariski, introducing in his dissertation a duality principle for plane curves that motivated Grothendieck's introduction of Gorenstein rings. He was a major influence on the classification of finite simple groups.

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Daniel Gorenstein's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Classification of the Finite Simple Groups (1983) (823)
Finite Simple Groups (1982) (439)
Finite Simple Groups: An Introduction to Their Classification (1982) (368)
The local structure of finite groups of characteristic 2 type (1983) (317)
The Classification of the Finite Simple Groups, Number 2 (1995) (262)
Finite groups with quasi-dihedral and wreathed Sylow 2-subgroups. (1970) (168)
The characterization of finite groups with dihedral Sylow 2-subgroups. I☆ (1965) (164)
A Class of Error-Correcting Codes in $p^m $ Symbols (1961) (153)
Finite Groups Whose 2-Subgroups Are Generated by at Most 4 Elements (1974) (132)
The characterization of nite groups with dihedral Sylow 2 - subgroups (1964) (129)
On finite groups with dihedral Sylow 2-subgroups (1962) (126)
THE MULTIPLICATORS OF CERTAIN SIMPLE GROUPS (1966) (87)
An arithmetic theory of adjoint plane curves (1952) (86)
Two-Error Correcting Bose-Chaudhuri Codes are Quasi-Perfect (1960) (82)
The classification of finite simple groups I. Simple groups and local analysis (1979) (60)
Centralizers of involutions in balanced groups (1972) (59)
A characterization of Janko's two new simple groups (1970) (47)
Balance and generation in finite groups (1975) (47)
FINITE GROUPS ADMITTING A FIXED-POINT-FREE AUTOMORPHISM OF ORDER 4.* (1961) (47)
Finite groups with Sylow 2-subgroups of class two. II (1975) (43)
Finite Groups the Centralizers of whose involutions have Normal 2-Complements (1969) (42)
The Enormous Theorem (1985) (39)
Finite simple groups and their classification (1974) (37)
Finite simple groups of low 2-rank and the families $G_2 \left( q \right),\,D_4^2 \left( q \right),\,q$ odd (1971) (35)
On finite groups with Sylow 2-subgroups of typeAn,n=8, 9, 10, 11 (1970) (35)
On finite groups with Sylow 2-subgroups of type Ân, n = 8, 9, 10, and 11 (1971) (33)
Classifying the finite simple groups (1986) (31)
Nonsolvable finite groups with solvable 2-local subgroups (1976) (30)
On finite simple groups of characteristic 2 type (1969) (27)
The $\pi$-layer of a finite group (1971) (26)
Finite Groups in Which Sylow 2-Subgroups are Abelian and Centralizers of Involutions are Solvable (1965) (26)
On the centralizers of involutions in finite groups, II (1969) (24)
Finite Groups Whose Sylow 2-Subgroups are the Direct Product of Two Dihedral Groups (1972) (21)
A characterization of the Higman-Sims simple group (1973) (21)
The Classification of the Finite Simple Groups, Number 4 (1999) (20)
A Class of Solvable Groups (1959) (19)
A class of Frobenius groups (1959) (15)
A vanishing theorem for cohomology (1972) (15)
Finite Groups of Sectional 2-Rank at Most 4 (1973) (14)
On the maximal subgroups of finite simple groups (1964) (14)
The flatness of signalizer functors on finite groups (1969) (13)
Transfer and fusion in finite groups (1967) (12)
Triply transitive groups in which only the identity fixes four letters (1961) (11)
On Finite Groups of the Form ABA (1962) (11)
Finite groups with Sylow 2-subgroups of type $PS_p (4,q),q$ odd (1973) (9)
The embedding of 2-locals in finite groups of characteristic 2-type, II (1981) (9)
The Classi cation of Finite Simple Groups (1994) (8)
Finite Groups With Product Fusion (1975) (8)
Finite Groups Which Admit An Automorphism With Few Orbits (1960) (8)
On almost-commuting permutations. (1962) (6)
Groups of noncharacteristic 2 type (1983) (4)
FINITE GROUPS OF 2-LOCAL 3-RANK AT MOST 1 (1976) (4)
On Split (B, N)-Pairs of Rank 2 (1993) (4)
Non-Solvable Signalizer Functors on Finite Groups (1977) (3)
Outline of proof (1994) (3)
On the structure of certain factorizable groups. II (1959) (3)
Signalizer functors, proper 2-generated cores, and nonconnected groups (1982) (3)
On a theorem of Philip Hall. (1966) (3)
p-Constraint and the transitivity theorem (1967) (3)
Centralizers of Involutions in Simple Groups (1983) (2)
Simple Groups of 2-Rank ≤ 2 (1983) (2)
On aschbacher’s localC(G; T) theorem (1993) (2)
An Acquirable Code (1964) (2)
The Extended ZJ-Theorem (1973) (2)
The finite groups of Lie type (1997) (0)
General Techniques of Local Analysis (1982) (0)
A Brief History of the Sporadic Simple Groups (1993) (0)
Some theory of linear algebraic groups (1997) (0)
Simple Groups of Low 2-Rank (1983) (0)
Component uniqueness theorems (1999) (0)
Coverings and embeddings of quasisimple -groups (1997) (0)
Properties of -groups (1999) (0)
General properties of -groups (1997) (0)
The Classification of Groups of Component Type (1983) (0)
Reviews on finite groups, as printed in Mathematical reviews, 1940 through 1970, volumes 1-40 inclusive (1974) (0)
The Known Simple Groups (1982) (0)
The B-Theorem and Locally Unbalanced Groups (1983) (0)
The alternating groups and the twenty-six sporadic groups (1997) (0)
Strongly embedded subgroups and related conditions on involutions (1999) (0)
Local Analysis and the Four Phases of the Classification (1982) (0)
Signalizer functors and fusion in finite groups (1990) (0)
Nonsolvable signalizer functors revisited (1990) (0)
Local subgroups of groups of Lie type, II (1997) (0)

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