2026 I. M. Isaacs: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	38	2307	977	208	7514

Discipline name

D-Index

World Ranking

National Ranking

Publications

Citations

Mathematics

2307

977

208

7514

Research.com Recognitions

2013 - Fellow of the American Mathematical Society
1971 - Fellow of Alfred P. Sloan Foundation

Overview

I. M. Isaacs was affiliated with the University of Wisconsin-Madison in the United States. Their research primarily focused on various aspects of mathematics, with significant contributions to finite group theory and algebra.

The scientist's work covered a range of subfields including discrete mathematics and combinatorics, algebra and number theory, artificial intelligence, geometry and topology, and cultural studies. Throughout their career, their main field of study remained mathematics.

Key research topics explored by Isaacs included:

Finite Group Theory Research
Coding theory and cryptography
Limits and Structures in Graph Theory
Advanced Topics in Algebra
Analytic Number Theory Research
Algebraic structures and combinatorial models
Geometric and Algebraic Topology

Isaacs published extensively in several notable mathematical journals and venues, including:

Journal of Algebra
Transactions of the American Mathematical Society Series B
Representation Theory of the American Mathematical Society
Archiv der Mathematik
American Mathematical Monthly

Among their recent publications were:

"Carter subgroups, characters and composition series", 2022, Transactions of the American Mathematical Society Series B
"Primes and conductors of characters", 2024, Journal of Algebra
"Local functions on finite groups", 2020, Representation Theory of the American Mathematical Society
"Counting maximal abelian subgroups of p-groups", 2022, Archiv der Mathematik
"Hall subgroups and fully extendible characters", 2020, Journal of Algebra

Isaacs collaborated frequently with a group of researchers including Gabriel Navarro, Lior Yanovski, William M. Cocke, and Ryan McCulloch. These collaborations reflected common interests in algebra and group theory.

During their career, Isaacs was recognized by professional organizations and received distinctions such as Fellow of the American Mathematical Society in 2013 and Fellow of the Alfred P. Sloan Foundation in 1971.

Best Publications

Character Theory of Finite Groups

Unknown

1667
Citations
Supercharacters and superclasses for algebra groups

Persi Diaconis;I. M. Isaacs

345
Citations
Characters of Π-separable groups

I.M Isaacs

257
Citations
Characters of Solvable and Symplectic Groups

Unknown

254
Citations
A reduction theorem for the McKay conjecture

I.M. Isaacs;Gunter Malle;Gabriel Navarro

206
Citations
Sums of Element Orders in Finite Groups

Unknown

127
Citations
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras

Marcelo Aguiar;Carlos André;Carolina Benedetti;Nantel Bergeron

116
Citations
Finite Group Elements where No Irreducible Character Vanishes

I.M Isaacs;Gabriel Navarro;Thomas R Wolf

109
Citations
A CHARACTERIZATION OF GROUPS IN TERMS OF THE DEGREES OF THEIR CHARACTERS

I. M. Isaacs;D. S. Passman

107
Citations
Characters of Groups Associated with Finite Algebras

Unknown

98
Citations
New refinements of the McKay conjecture for arbitrary finite groups

I. M. Isaacs;Gabriel Navarro

81
Citations
Groups with Representations of Bounded Degree

I. M. Isaacs;D. S. Passman

81
Citations
Irreducible Character Degrees and Normal Subgroups

I.M. Isaacs;Greg Knutson

76
Citations
Fong characters in π-separable groups

I.M Isaacs

73
Citations
On the Probability That a Group Element is p-Singular

I.M. Isaacs;W.M. Kantor;N. Spaltenstein

62
Citations
Large orbits in actions of nilpotent groups

Unknown

61
Citations
Generalized Vandermonde determinants and roots of unity of prime order

Unknown

61
Citations
Character correspondences in solvable groups

I.M Isaacs

58
Citations
Coprime Group Actions Fixing All Nonlinear Irreducible Characters

Unknown

58
Citations
Semipermutable π-subgroups

I. M. Isaacs

47
Citations
The average degree of an irreducible character of a finite group

I. M. Isaacs;Maria Loukaki;Alexander Moretó

38
Citations
p-Supersolvability and actions on p-groups stabilizing certain subgroups

Yakov Berkovich;I.M. Isaacs

37
Citations
Element orders and character codegrees

I. M. Isaacs

37
Citations
On the Möbius function of a finite group

Unknown

37
Citations
A note on groups of p-length 1∗

I.M Isaacs;I.M Isaacs;Stephen D Smith;Stephen D Smith

28
Citations
Half-Transitive Automorphism Groups

I. M. Isaacs;D. S. Passman

28
Citations
Partial characters of π-separable groups

I. M. Isaacs

27
Citations
Character correspondences and irreducible induction and restriction

I.M Isaacs;Gabriel Navarro

24
Citations

Frequent Co-Authors

Gunter Malle Technical University of Kaiserslautern

Robert M. Guralnick University of Southern California

Martin W. Liebeck Imperial College London

External Links

Personal website of I. M. Isaacs

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