105 citations · 105 across the 6 of their papers we have counts for
6 papers
Camina -groups that are generalized Frobenius complements
I. M. Isaacs, Mark L. Lewis
Let be a Camina -group that acts on a group in such a way that for all nonidentity elements . We show that must be isomorphic to the…
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi…
New refinements of the McKay conjecture for arbitrary finite groups
I. M. Isaacs, G. Navarro
Let be an arbitrary finite group and fix a prime number . The McKay conjecture asserts that and the normalizer in of a Sylow -subgroup have equal numbers of irred…
Inequalities for finite group permutation modules
Daniel Goldstein, Robert M. Guralnick, I. M. Isaacs
If f is a nonzero complex-valued function defined on a finite abelian group A and \hat f is its Fourier transform, then |Supp (f)||Supp {\hat f)| \ge |A|, where Supp (f) and Supp (…
Irreducible character degrees and normal subgroups
I. M. Isaacs, Greg Knutson
Let N be a normal subgroup of a finite group G and consider the set cd(G|N) of degrees of irreducible characters of G whose kernels do not contain N. A number of theorems are prove…
Real fields and repeated radical extensions
I. M. Isaacs, David Petrie Moulton
The main result of this paper is that if E is a field extension of finite odd degree over a real field Q, and if E is a repeated radical extension of Q, then every intermediate fie…