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I. Martin Isaacs
Researcher at University of Wisconsin-Madison
Publications - 14
Citations - 3669
I. Martin Isaacs is an academic researcher from University of Wisconsin-Madison. The author has contributed to research in topics: Normal subgroup & Abelian group. The author has an hindex of 8, co-authored 11 publications receiving 3609 citations.
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Book
Character theory of finite groups
TL;DR: The Schur index Projective representations Character degrees Character correspondence Linear groups Changing the characteristic Some character tables Bibliographic notes References Index as discussed by the authors The Schur Index Projective representation of characters
Book
Finite Group Theory
TL;DR: Sylow theory Subnormality Split extensions Commutators Transfer Frobenius actions The Thompson subgroup Permutation groups More on subnormality More transfer theory The basics Index as mentioned in this paper
Book
Algebra, a graduate course
TL;DR: In this paper, a first-year course at the University of Wisconsin contains more than enough material for a two-semester graduate-level abstract algebra course, including groups, rings and modules, fields and Galois theory, an introduction to algebraic number theory, and the rudiments of algebraic geometry.
Journal ArticleDOI
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar,Carlos A. M. André,Carolina Benedetti,Nantel Bergeron,Zhi Chen,Persi Diaconis,Anders O.F. Hendrickson,Samuel K. Hsiao,I. Martin Isaacs,Andrea Jedwab,Kenneth A. Johnson,Gizem Karaali,Aaron Lauve,Tung Le,Stephen Lewis,Huilan Li,Kay Magaard,Eric Marberg,Jean-Christophe Novelli,Amy Pang,Franco Saliola,Lenny Tevlin,Jean-Yves Thibon,Nathaniel Thiem,Vidya Venkateswaran,C. Ryan Vinroot,Ning Yan,Mike Zabrocki +27 more
TL;DR: In this article, the authors identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables.
Journal ArticleDOI
On groups of central type
TL;DR: In this article, a minimal counterexample G to the Iwahori-Matsumoto conjecture is given, where the minimal submodules are amalgamated in the product.